What is the inverse of the function f(x) = x +3?

Answers

Answer 1

1- First, replace f(x) with y

f(x) = x +3  ⇒ y = x + 3

2. Replace every x with a y and replace every y with an x .

y = x + 3 ⇒ x = y + 3

3. Solve the equation from Step 2 for y.

x = y + 3  ⇒ y = x-3

4 - Replace y with f⁻¹(x).

f⁻¹(x) = x-3

The inverse is f⁻¹(x) = x-3

Related Questions

HURRY I NEED HELP ASAP

Which set of angle measures would determine a triangle
a. 75,15,10
b.150,20,50
c.50,50,100
d.75,5,100
e70,60,40

Answers

Answer:

D

Step-by-step explanation:

all should add up to 180

Answer:

E. 70°, 60°, 40°​        D. 75°, 50, 100        C. 50°, 50°, 100°

Step-by-step explanation:

If you add the three degrees together, they all should equal 180 degrees.

Hope this helped :)

In a class 3/4 of the boys like math, 1/2 like science, 1/4 of those who like science do not like math. How many boys like neither math nor science?
A. 1/4
B. 1/6
C. 1/2
D. 1/8​

Answers

Brainiest Answer:
D.1/8

In a class of 32 students for students were home sick with the flu on Thursday what percent of the students were absent on Thursday

Answers

Answer: 12.5%

Explanation: You have to divide the numerator (4) by the denominator (32), and move the decimal point two places to the right to change from a decimal to a percentage.
4 ÷ 32 = 0.125 (or 12.5%)

A cookie factory uses 1/10 of a barrel of oatmeal in each batch of cookies. The factory used
2/5 of a barrel of oatmeal yesterday. How many batches of cookies did the factory make?

Answers

Answer:

4

Step-by-step explanation:

2/5 is the same as 4/10

You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence interval for the menu systolic blood pressure for the employees of this company is (122, 138). Which of the following statements gives a valid interpretation of the confidence level?a. 95% of the sample of employees have a systolic blood pressure between 122 and 138.b. 95% of tire population of employees have a systolic blood pressure between 122 and 138c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population means systolic blood pressure.d. The probability that the population mean blood pressure is between 122 and 138 is .95

Answers

I have 0 idea sorry

Putting money into more than one kind of investment at a time is called

Answers

Diversification is putting more money into more then one investment

Putting money into more than one kind of investment at a time is called Diversification.

What is Diversification?

This a technique which helps to reduce risk through investing in different sectors and opportunities.

It also involves putting money in more than one type of investment which makes Diversification the most appropriate choice.

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Hamburger meat cost $3.68 pound. which equation best represent y, the total cost of x pounds of hamburger meat?

Answers

Answer:

Y=3.68x

Step-by-step explanation:

Answer:

Its should be y=$3.68(X)

11. The table below shows the cost of comic books. Number of Comic Books Total Cost (dollars) 3 3.75 5 7 8.75 10 12.50 Based on the information in the table, which is the best prediction of the cost of 12 comic books?​

Answers

Answer:

$15

Step-by-step explanation:

The unit rate or how much a comic book costs = total cost ÷ number of comic books

Using any given pair, let's use the first row (3, 3.75):

Unit rate = [tex] \frac{3.75}{3} = 1.25 [/tex]

This means a comic book cost $1.25.

Therefore, 12 comic books would cost:

12 × 1.25 = $15

10. DESIGN Mr. Hagarty is choosing tiles to design a kitche backsplash for a rectangular area 65 inches wide and 9 in tall . Design a backsplash using each type of rhombi-shape tile that minimizes cost. a. diagonals of 1 inch and 1.5 inches, $0.05 each b. diagonals of 1.5 inches and 2 inches, $0.07 each Areas of Trapezoids, Rhombi, and Kites 2 © B O DO​

Answers

Answer:

I honeslty dont know I just need points to answer a question

Step-by-step explanation:

hope you find the answer youre looking for!

Find the size of the angle 2 x

Answers

Answer:

Given - Angles measure 2x , X and 3x

To find - Measures of 2x

Solution -

2x + X = 180° ( forming linear pair )

3x = 180°

x = 180/3

x = 60°

2x = 2 × 60 = 120°

Answer:

120°

plz give brainlist

Step-by-step explanation:

since 2x and x form a straight angle you get the equation

2x + x = 180

combine like terms

3x = 180

devide by 3

x = 60

evaluate 2x

2(60) = 120

Find the percent of decrease from 6 to 5.

Answers

Answer:

Use this

Step-by-step explanation:

The hypotenuse of a right triangle is 13ft long. The longer leg is 7ft longer than the shorter leg. Find the side lengths of the triangle.

Answers

Answer:

The side lengths are 5, 12, 13

Step-by-step explanation:

These are the side lengths we know before we have solved the problem.

a= x   b= x+7   c= 13

If we put this into the Pythagorean theorem, we get

[tex]13^{2} = x^{2} +(x+7)^{2}[/tex]

Expand

[tex]169 = 2x^2+14x+49\\[/tex]

Subtract 169 from both sides

[tex]0 =2x^2+14x-120[/tex]

Solve using the quadratic formula

a= 2   b= 14   c= -120

[tex]\frac{-14\pm \sqrt{14^2-4\cdot \:2\left(-120\right)}}{2\cdot \:2}[/tex]

[tex]x= \frac{-14\pm \:34}{2\cdot \:2}[/tex]  

If we separate the solutions we get

[tex]x= \frac{20}{4} = 5[/tex]

and

[tex]x= \frac{-48}{4} = -12[/tex]

Since this is a question about length, we can ignore the negative.

So the longer leg is 12ft and the shorter leg is 5ft

The shorter length is 5feet and the longer length is 12 feet

Let the shorter leg = x

Let the longer leg = x+7

Therefore,

x² + (x+7)² = 13²

x² + x² + 14x + 49 = 169

Collect like terms

2x² + 14x + 49 - 169 = 0

2x² + 14x - 120 = 0.

Divide by 2

x² + 7x - 60

By using quadratic equation

x² + 12x - 5x - 60

x(x + 12) - 5(x + 12)

Therefore, x - 5 = 0

x = 0 + 5.

x = 5

The shorter length is 5ft

Longer length = 5+7 = 12 feet

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The table represents a function.

Answers

Answer:

4

Step-by-step explanation:

4
.........................















In the news you hear tuition was expected to increase from $1200 to $2350 over the next 10 years. This represents a ___% increase from current tuition. Round answers to two decimal places.

Answers

Answer:

95.83%

Step-by-step explanation:

i need a step by step explanation

Answers

Answer:

1/2c-4

Step-by-step explanation:

First, you distribute the fraction on the outside to the numbers inside of the parenthesis. So, you distribute 1/2 to c, which gives you 1/2 x c = 1/2c. Then, you distribute the 1/2 to -8, which gives you 1/2 x -8 = -4. You combine these expression together and get your final answer as 1/2c-4.

9(2n+1) =
can someone help me, please

Answers

Answer:

9(2n + 1) = 18n + 9

Step-by-step explanation:

9(2n + 1)

use the distributive property a(b + c) = ab + ac

= (9)(2n) + (9)(1) = 18n + 9

Step-by-step explanation:

9(2n+1) =0

18n+9 = 0

18n = -9

n = -9/18

n = -1/2

Solve me this please
X=33500+0,2Y
Y=26500+0,1X

Answers

Answer: X= 108125 and  Y  = 373125.

Step-by-step explanation:

Given system :

[tex]X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)[/tex]

Consider (ii)

[tex]Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500[/tex]

Multiply 10 on both sides , we get

[tex]10Y-X=265000 (iii)[/tex]

Add (i) and (iii)

[tex]10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125[/tex]

Put this in (i)

[tex]X= 33500+0.2(373125) =108125[/tex]

Hence, X= 108125 and  Y  = 373125.

Fred, Norman, and Dave own a total of 128 comic books. If Dave owns 44 of them, what is the average
(arithmetic mean) number of comic books owned by Fred and Norman?

Answers

Answer:

[tex]Mean = 42[/tex]

Step-by-step explanation:

Given

Represent Fred with F; Norman with N and Dave with D.

[tex]Total = 128[/tex]

[tex]D = 44[/tex]

Required

Determine the arithmetic mean of F and N

First, we have that:

[tex]F + N + D = 128[/tex]

Substitute 44 for D

[tex]F + N + 44 = 128[/tex]

Subtract 44 from both sides

[tex]F + N + 44 - 44 = 128 - 44[/tex]

[tex]F + N = 84[/tex]

Arithmetic mean of F and N is calculated as follows:

[tex]Mean = \frac{F + N}{2}[/tex]

[tex]Mean = \frac{84}{2}[/tex]

[tex]Mean = 42[/tex]

What is the Inverse function of F(x)=3x²?

Answers

Answer:

f⁻¹(x) = x+2 / 3

Step-by-step explanation:

i dont have one. i just did it.

Which statements describe one of the transformations performed on f(x) =x^2 to create g(x)=2x^2+5?

A: A translation of 5 units to the right
B: A vertical stretch with a scale factor of 1/2
C: A vertical stretch with a scale factor of 2
D: A translation of 5 units up

Answers

Answer:

do u know the answer ik it's five units up but that it

Answer: a vertical stretch with a scale factor of 2. and a translation of 5 units up.

Step-by-step explanation:

Evaluate 3 + (a + 4)(8 - b) when a = 5 and b = 6.
The value of the expression is

Answers

Answer:

21

Step-by-step explanation:

you plug in 5 for a and 6 for b and solve.

The value of the expression 3 + (a + 4)(8 - b) when a = 5 and b = 6 is 21

How to evaluate an expression?

3 + (a + 4)(8 - b)

when,

a = 5 and b = 6

substitute into the expression

= 3 + (5 + 4) (8 - 6)

= 3 + 9 (2)

= 3 + 18

= 21

Therefore, the value of the expression 3 + (a + 4)(8 - b) when a = 5 and b = 6 is 21

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Dario spends 3 1/2 hours on the phone with technical support and pays $10. What is his unit rate?

Answers

Answer:

20/7 dollars per hour

Step-by-step explanation:

He pays 10 dollars per 3 1/2 hours. To find the unit rate, we divide the two.

10 / (3 1/2) =

10 / (7/2) =

(10/1) x (2/7) =

20/7

A toy marks down every toy by 25% in January. Use p for the price in December to write an expression of the price in January? ​

Answers

Answer: since the toy is marked down 15%,

you do p*.85  

to find the remaining cost

Step-by-step explanation: I got this from a friend. But I hope this helps! <3

LGS 2.5.052.MI.
A fax machine that regularly sells for $227.88 is on sale for
off the regular price. Find the sale price.
$

Answers

Answer:

I’m sorry but I can’t see how much it’s on sale for so just tell me and I’ll answer.

Step-by-step explanation:

6464 is 444 times the difference between Sarah's age, aaa, and 444444. Assume Sarah is older than 44

Answers

Answer:

60 years

Step-by-step explanation:

Given that :

Sarah's age = a

Assume Sarah is older than 44 ; then a > 44

64 = 4 times difference between a and 44

Expressing the problem mathematically ;

64 = 4 * (a - 44)

64 = 4a - 176

64 + 176 = 4a

240 = 4a

a = 240 / 4

a = 60

Hence, Sarah is aged 60

which number completes the inequality?​

Answers

Answer:

1.08

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1.01<1.08<1.17<1.20

A basketball player makes 65% of all free throws
in her first 5 seasons. In her 6th season she
makes 105 out of 150 free throws. How does the
observed frequency of her 6th season compare
to the expected frequency? Provide a possible
explanation for any similarities or differences in
the frequencies. 7.50.3.7

Answers

Answer: The relative frequency of an event is the ratio of the number of times an event happens to the number of times the event is attempted. Relative frequencies are often used in decision making and to predict outcomes. Relative frequencies are based on data previously collected and recorded. Probabilities are based on assumptions.

75 •

.75 =

.5625

.75 •

.75 •

.75 =

.4219

(i'm sorry if i'm wrong)

use mathematical language to decribe three different patterns in the following triangle.

Answers

Answer:

What's the triangle though?

Step-by-step explanation:

Answer:

Not enough Data

Step-by-step explanation:

What is the perimeter of a square with sides 2.5 mm long?

A 7.5 mm
B 10 mm
C 2.5 mm
D 5 mm

Answers

Answer:

the perimeter of a square with sides 2.5 mm long is b.10 mm.

Big points and Brainliest look at the attachment pretty ez

Answers

Answer:

D. 2 1/4

Step-by-step explanation:

(99/8)/(11/2)

(99/8)*(2/11)

(9/4)*(1/1)=9/4

9/4=2+1/4

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