F(x)=x^2+1 what is f(f(x))?

Answers

Answer 1

Answer:

Answer

Find out f(f(x)) .

To prove

As given in the question

f(x) = x² + 1

Now

f(f(x)) = f (x² + 1)

Now find out the value of f (x² + 1).

f(f(x)) = f (x² + 1)

        = (x² + 1)² + 1

Using formula

(a + b)² = a² + b² + 2ab

Apply in the above function

f(f(x)) = (x² + 1)² + 1

f(f(x)) = [tex]x^{4}[/tex] + 1 + [tex]2x^{2}[/tex] + 1

Simplify

f(f(x)) = [tex]x^{4}[/tex] +  [tex]2x^{2}[/tex] + 2

 

Thus the value of  f(f(x)) is: f(f(x)) = [tex]x^{4}[/tex] +  [tex]2x^{2}[/tex] + 2

Step-by-step explanation:


Related Questions

What are the measures of ∠1 and ∠2? PLEASE ANSWER
m∠1 = 58.2°, m∠2 = 75.5°
m∠1 = 67.4°, m∠2 = 104.5°
m∠1 = 75.5°, m∠2 = 67.4°
m∠1 = 104.5°, m∠2 = 58.2°

Answers

9514 1404 393

Answer:

  (b)  m∠1 = 67.4°, m∠2 = 104.5°

Step-by-step explanation:

It is easiest to find angle 2 first, then make your answer selection based on that.

The exterior angle 121.8° is the sum of the remote interior angles 17.3° and angle 2. Then ...

  angle 2 = 121.8° -17.3° = 104.5° . . . . . . . matches the second choice

__

Angle 2 is an exterior angle of the top triangle. It, too, is the sum of the remote interior angles:

  104.5° = angle 1 + 37.1°

  angle 1 = 104.5° -37.1° = 67.4°

Answer:

C!

Step-by-step explanation:

m∠1 = 75.5°, m∠2 = 67.4°

You roll a die. What's the theoretical probability of rolling a number greater than 2?

Answers

Answer: if the dice is six sided you have 4 chances to roll a higher number

Step-by-step explanation:

Answer:

3 in 36

Step-by-step explanation:

assuming a fair die you have three possible odd numbers out of six total possible outcomes so the probability is 0. the prob ability of getting an even number greater than 2 when rolling standard die must be 1/3. The probability of doing both, on two rolls, is 3 in 36, or 1 in 12.

A politician is running for a state representative position. She wants to know what her chances of winning are.
Which method is MOST LIKELY to give a random sample of voters?

A Survey people in several different cities throughout the state

B Survey people who volunteer at political events

C Survey college students at a state college

D Survey people who ride public transportation

Answers

Answer:Yeet

Step-by-step explanation:

PLEASE HELP DUE IN 3 minutes

Answers

Answer: 15 swimmer younger than 30 years old

Step-by-step explanation:

C. There is no other way it can be any of the other two that you chose because the graphs don’t seem to match up that is if I’m looking at it correctly.

What is the mode of the set of numbers below

25, 14, 33, 17, 14, 8
A. 14
B. 16
C. 17
D. 19

Answers

The mode is A. 14 because it’s showed 2 times
Mode is 14 I believe (A)

If (3, -5) is an ordered pair of the function f(x), which of the following must be an ordered pair of the inverse of f(x)?

(3, -5)
(3, 5)
(-5, 3)
(5, -3)

Answers

You just swap the ordered pair units around. It’d be (-5, 3)

Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).

How to determine which of the following must be an ordered pair of the inverse of f(x)

To determine which of the given ordered pairs must be an ordered pair of the inverse of f(x), we need to find the inverse function of f(x) and check which ordered pair satisfies the inverse function.

Given that (3, -5) is an ordered pair of the function f(x), it means that f(3) = -5.

Now, let's find the inverse function of f(x) by swapping the x and y variables and solving for y:

x = f(y)

Substituting f(3) = -5:

3 = f(y)

Therefore, the inverse function of f(x) is y = 3.

Now, let's check which of the given ordered pairs satisfies the inverse function:

- For (3, -5):

When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, -5) does not satisfy the inverse function.

- For (3, 5):

When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, 5) does not satisfy the inverse function.

- For (-5, 3):

When we substitute x = -5 into the inverse function y = 3, we get y = 3. Therefore, (-5, 3) satisfies the inverse function.

- For (5, -3):

When we substitute x = 5 into the inverse function y = 3, we get y = 3. Therefore, (5, -3) satisfies the inverse function.

Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).

Learn more about inverse function at https://brainly.com/question/3831584

#SPJ2

Pls help ASAP I will give brainleist answer

Answers

Answer:

6 3/10 pounds

Step-by-step explanation:

Please need help thank

Answers

add all of it

Step-by-step explanation:

toghthet and you will get ur answer

you’re a teacher pay 42 apples

James think of a two digit number it is a cube number​

Answers

Step-by-step explanation:

64 IS A TWO DIGIT NUMBER WHICH IS THE CUBE OF 4.

ALSO, 64 IS A EVEN NO. WHICH IS DIVISIBLE BY 2.

Carbon 14 (14C) dating assumes that the carbon dioxide on Earth today has the same radioactive content as it did centuries ago. If this is true, the amount of 14C absorbed by a tree that grew several centuries ago should be the same as the amount of 14C absorbed by a tree growing today. A piece of ancient charcoal contains only 12% as much radioactive carbon as a piece of modern charcoal. How long ago was the tree burned to make the ancient charcoal given that the half-life of 14C is 5700 years? (Round your answer to the nearest whole number.)

Answers

You can download answer here

tinyurl.com/wpazsebu

Will give brainliest

a. 336 cubic centimeters
b. 48 cubic centimeters
c. 248 cubic centimeters
d. 168 cubic centimeters

Answers

Answer:

A.336 cubic centimeter

Step-by-step explanation:

6cm×8cm×7cm=336


1 Arrange the given numbers in ascending order
-25, 30, 16,-19,-1,0​

Answers

Answer:

-25,-19,-1,0,16,30

Step-by-step explanation:

as you go to the left side of a number line the number get smaller and as you go to the right side of a number line the numbers get bigger (larger).

Hope I got the right answer!

Ascending order means smallest to largest.

-25 , -19 , -1 , 0 , 16 , 30

What is the explicit formula for the geometric sequence 15, 3, 0.6,
0.12, ...?

Answers

Answer:

A

Step-by-step explanation:

first num is 15

ratio is 0.2

formula is a.r^n-1

I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS

Answers

Answer:

452.39

Step-by-step explanation:

✎Question:Amirah is 4 years elder than Priya and Shirley is 2 years younger than Priya. If the sum of their ages is 47, find their respective ages ✔​

Answers

Answer:

Priya's age = 15

Amirah's age = 19

Shirley's age = 13

Step-by-step explanation:

Let x be the age of Priya.

According to the question,

Amirah's age = x + 4

Shirley's age = x - 2

Their sum is 47.

So,

x + 4 + x + x - 2 = 47

3x + 2 = 47

3x = 47 - 2

3x = 45

x = 45/3

x = 15

So,

Priya's age = 15

Amirah's age = 15 + 4 = 19

Shirley's age = 15 - 2 = 13

Answer:

Priya is 15 years old

Amirah is 19 years old and

Shirley is 13 years old

Step-by-step explanation:

let Amirah =x

let Priya = y

let Shirley = s

so we have

x= 4+y

s=y-2

x+y+s =47

we have x= 4+y

4+y+y+s=47

4+2y+s=47

2y+s=43

s-y=-2 (MULTIPLY BY NEGATIVE 1)

y-s =2

2y+s= 43

by solving simultaneously we get

3y= 45

y=15

x= 4+y

x=19

s=y-2

s= 13

so Priya is 15 years old

Amirah is 19 years old and

Shirley is 13 years old

Using the LSRL model, estimate the volume of a gas 2.5, 4.5, and 6.5 atmospheres

Answers

Answer:

Brett is working in the chemistry lab trying to determine if he can predict the volume of three different gases (nitrogen, oxygen, and carbon dioxide) based upon the pressure applied to them. He kept all other characteristics of the gases constant. Brett performed the following analysis:

9-60 Graph

9-60 Residuals

Discuss the association, including slope and -squared.

Hint (a):

What is the residual with the greatest magnitude and what point does it belong to?

Hint (b):

Answer (b):

Using the LSRL model, estimate the volume of a gas at , and atmospheres. Use an appropriate precision.

Hint (c):

Answer (c):

How well would this linear model work in predicting more extreme pressures? Support your answer.

Hint (d):

2 questions
when can you combine like terms?
when can you NOT combine like terms?

( do not put the definiton of like terms i only need these questions answered)

Answers

Answer:

You can combine like terms when they have the same variable, same category, or same coefficient. You CANNOT combine like terms when they have none of the attributes listed above. For example, you can combine 7x and 20x, just like you can combine 3 and 4, but you can't combine 3x & 5(x^2), or 9x and 73.

what is the best way to describe | -2| ?

Answers

Opposite of 2, It really just means minus 2 so the opposite of 2 would end up being -2

Answer:

2

Step-by-step explanation:

Find the area of the rectangle shown. 0.3 in. 0.6 in.

Answers

Answer:

The answer is 0.18

Step-by-step explanation:

All you have to do is multipy length x width

If the temperature was -24 degrees yesterday. If the temperature is 5 degrees now. What was the temperature change

Answers

Answer:

The temperature went up by 29 degrees.

Step-by-step explanation:

Since -24 is negative,

Add 5 to 24 = 29.

Explicit formula for

1,5,3,6,12

Answers

sorry I needed the points!

Branliest to correct answer please explain how you got your answer :)

Answers

Answer: 25%

Step-by-step explanation:

Let's take our given numbers

20% you win both checkers and chess against your friend

30% you win against your friend in chess

Now we take both probability's 20% and 30%

We are know working with a probability out of 200%

Let's add 20% and 30%

20%+30%=50%

Now 50% of 200% is

25%

What is 18.5% of 500?

Answers

Answer:

92.5

Step-by-step explanation:

18.5% = 0.185

0.185 x 500 = 92.5

Hope that helps!

Answer: 92 1/2   or   92.5

Step-by-step explanation:

how to solve?

Put it into a percent proportion :D!

Percent proportion is is/of=%/100 or a/w=p/100

The a stands for "part"

and the w stands for "whole"

p stands for "percent"

Is/of=%/100 will help you figure it out if it's in a mathmatical sentence.

Since they did NOT give you what the "is" is, you put the variable "a"

a/   =

Next,

Since it said "of"

You put of underneath the unknown number "is" (a)

a/500=

Now put in the percent

a/500=18.5/100

Now cross multiply!

Then you should get 92.5!

HOPE THIS HELPS :DDD

Which word could describe the relationship of the lines
containing the points (1, 6) and (1, 3)?
A) coincident
B) parallel
C) perpendicular
D all of the above

Answers

I would pick D) All of the above

5x−y=10 3x+y=14 please solve the system of equations and show your work

Answers

work is down below. the answers is x=3

Answer:

x = 3, y = 5

or (3,5) in coordination point form.

Step-by-step explanation:

We are going to solve the system of equations by combining two equations. To do that, we isolate y-term.

[tex] \large{\begin{cases} 5x - y = 10 \\ 3x + y = 14 \end{cases}}[/tex]

Convert both equations to slope-intercept form.

[tex] \large{ \begin{cases} y = 5x - 10 \\ y = - 3x + 14 \end{cases}}[/tex]

Then combine both equations

[tex] \large{5x - 10 = - 3x + 14} \\ \large{5x + 3x = 10 + 14} \\ \large{8x = 24} \\ \large{x = 3}[/tex]

Substitute x = 3 in one of given equations. I will substitute x = 3 in y = 5x-10

[tex] \large{y = 5x - 10} \\ \large{y = 5(3) - 10} \\ \large{y = 15 - 10} \\ \large{y = 5}[/tex]

Hope this helps!

Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9, 10}
What is the probability of drawing an even number or a
multiple of 3?

Answers

Answer:

0.7

Step-by-step explanation:

2,3,4,6,8,9,10 are the possible choices.

∴P(even no. or multiple of 3)

= 7/10

Answer:

7/10 or 70%

Step-by-step explanation:

1     no

2     yes

3     yes

4     yes

5     no

6     yes

7     no

8     yes

9     yes

10    yes

7/10 are even or multiples of 3, therefore you have a 70% chance of drawing one of them

What is the current value for a future sum of money called?

A. Current value

B. Present value

C. Future value

Answers

The believe the answer is Present Value, I hope this helps!

Shiro and Tatiana weighed some pebbles in
science class. They made a line plot to display
their data. Use the line plot to answer

Answers

Answer:

The answer is below

Step-by-step explanation:

a) Of the pebbles that were measured, which weight occurs the least?

Soln.: From the line plot, we can see that 3 ounce occurred once, 3 1/2 ounce occurred 4 times, 4 ounce occurred 3 times, 4 1/2 ounce occurred 5 times, 5 ounce occurred 2 times, 5 1/2 ounce occurred 3 times, 6 ounce occurred 2 times.

Therefore 3 ounce occurred the least.

b) What is the total weight of the pebbles represented by the data?

Soln.: The total weight is:

Total weight = (3*1) + (3 1/2 * 4) + (4 * 3) + (4 1/2 * 5) + (5 * 2) + (5 1/2 * 3) + (6 * 2) = 90 ounce

c)  Is there an outlier in the data set? If so what number is the outlier?

Soln.: There is no outlier in the data set because all the data are close to each other.

Please help!!!!!!!!!!!

Answers

Answer:

Circle on the left: 30 ft Circle in the middle: 4m Circle on the right: 10 mm

Step-by-step explanation:

I got these answers by multiplying the radius by 2. In the problem, they gave you the radius. The diameter is r*2, so that is how I got my answers.

Answer:

1. I think 30ft 2. I think 4m 3.I think 10mm

A certain television is advertised as a 25-inch TV (the diagonal length). If the width of
the TV is 24 inches, how many inches tall is the TV?

Answers

Answer:

The TV is 7 inches tall.

Step-by-step explanation:

Use the pythagorean theorem.

[tex]a^2 + b^2 = c^2\\24^2 + b^2 = 25^2\\576 + b^2 = 625\\b^2 = 49\\b = 7[/tex]

Answer:

Step-by-step explanation:

I think 600 inches

That is multiplying the 25 by the 24 inches length

Other Questions
How and why did the ideal of manifest destiny and the outcome of the Mexican-American War lead to U.S. expansion to the Pacific Ocean? The ratio of boys and girls riding the bus is 4:3 if there are a total of 56 students on the bus,how many girls are on the bus One of the reasons we make bad decisions is because we have to rely on our perceptions.a. Trueb. False How does a physicist define work? a force applied for a certain length of time a force applied over a distance power applied for a certain length of time power applied to something over a distance If you blow across the open end of a soda bottle and produce a tone of 250 Hz, what will be the frequency of the next harmonic heard if you blow much harder?___Hz Yall I need help on this question:) so if you could please help me I would appreciate it!! change 5 feet 10 inches to centimetres I am very confused on this problem pls help PLEASE HELP I HAVE 5 MINUTES PLEASE :( What is the volume of the Triangular prism?Volume = 1/2 LWH(Geometry) pls help! the function g is defined as follows for the domain giveng(x)=1-2x domain={-3,-1,2,4}write the range of g using set notation then graph g 30 points!!!!!!!!!!!!!!!!!!! Ill give points and brainalist for answer / explanation How many licks does it take to lick the center of a tootsie pop?364 licksA group of engineering students from Purdue University reported that its licking machine, modeled after a human tongue, took an average of 364 licks to get to the center of a Tootsie Pop. I someoneeee pleaeee helpppp?! Which word has a connotation that best supports a gloomy mood?skippedlumberedbouncedmoved Micaela answered 158 questions correctly on her multiple choice math final that had a total of 200 problems. what percentage of questions did micaela answer correctly on the final exam? What do we need to do, as private citizens, to ensure our governmental leadership reflects the diversity of the population? will give branliestHow could you possibly see the world in slow-motion How does the environment influence populations of organisms over multiplegenerations?