Answers
Answer:
[tex]f[2-f^{-1}(x)]=x[/tex]
Step-by-step explanation:
Given function is,
f(x) = [tex]\frac{x-1}{2}[/tex]
Equation form of the function will be,
y = [tex]\frac{x-1}{2}[/tex]
Interchange x and y,
[tex]x=\frac{y-1}{2}[/tex]
Solve for y,
y = 2x + 1
Therefore, inverse of the function 'f' will be,
[tex]f^{-1}(x)=2x+1[/tex]
Now [tex][2-f^{-1}(x)][/tex] = 2 - [2x + 1]
= -2x + 1
Value of [tex]f[2-f^{-1}(x)][/tex] = f(2x + 1)
From the given function,
f(2x + 1) = [tex]\frac{(2x+1)-1}{2}[/tex]
= x
Therefore, value of [tex]f[2-f^{-1}(x)]=x[/tex]
Related Questions
divide (3x^2-14x-5) by (x-5)
Answers
Answer:
3x+1
Step-by-step explanation:
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of
0
.
x
-
5
3
x
2
-
14
x
-
5
Divide the highest order term in the dividend
3
x
2
by the highest order term in divisor
x
.
3
x
x
-
5
3
x
2
-
14
x
-
5
Multiply the new quotient term by the divisor.
3
x
x
-
5
3
x
2
-
14
x
-
5
+
3
x
2
-
15
x
The expression needs to be subtracted from the dividend, so change all the signs in
3
x
2
−
15
x
3
x
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3
x
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
Pull the next terms from the original dividend down into the current dividend.
3
x
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
Divide the highest order term in the dividend
x
by the highest order term in divisor
x
.
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
Multiply the new quotient term by the divisor.
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
+
x
-
5
The expression needs to be subtracted from the dividend, so change all the signs in
x
−
5
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
-
x
+
5
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
-
x
+
5
0
Since the remander is
0
, the final answer is the quotient.
3
x
+
1
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of
0
.
x
-
5
3
x
2
-
14
x
-
5
Divide the highest order term in the dividend
3
x
2
by the highest order term in divisor
x
.
3
x
x
-
5
3
x
2
-
14
x
-
5
Multiply the new quotient term by the divisor.
3
x
x
-
5
3
x
2
-
14
x
-
5
+
3
x
2
-
15
x
The expression needs to be subtracted from the dividend, so change all the signs in
3
x
2
−
15
x
3
x
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3
x
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
Pull the next terms from the original dividend down into the current dividend.
3
x
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
Divide the highest order term in the dividend
x
by the highest order term in divisor
x
.
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
Multiply the new quotient term by the divisor.
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
+
x
-
5
The expression needs to be subtracted from the dividend, so change all the signs in
x
−
5
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
-
x
+
5
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
-
x
+
5
0
Since the remander is
0
, the final answer is the quotient.
3
x
+
1
The solution after divide (3x² - 14x - 5) by (x - 5) will be (3x + 1).
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
⇒ Divide (3x² - 14x - 5) by (x - 5)
Now,
Divide (3x² - 14x - 5) by (x - 5) as;
x - 5 ) 3x² - 14x - 5 ( 3x + 1
3x² - 15x
- +
------------------
x - 5
x - 5
- +
--------------------
0
Thus, The solution after divide (3x² - 14x - 5) by (x - 5) will be (3x + 1).
Learn more about the division method visit:
https://brainly.com/question/25289437
#SPJ2
What's 5/3x(-6/7) In simplest terms??
Answers
Answer: 0.514
Step-by-step explanation:
yall I need help QUICK
Write an equation of a line that passes through the x-intercept 4 with slope -3
PLEASE HELP
Answers
Answer:
y=-3x-12
Step-by-step explanation:
:)
What is the value of expression below?
Answers
Answer:
B)1.1
Step-by-step explanation:
I'm 100% sure
Answer:
ans b.1.1
Step-by-step explanation:
hey just follow an thank me thats it
Luke divided 16.80 by 2.5 as shown, but he forgot to put the decimal point in the
answer.
Complete the sentence below.
Answers
Answer:
it equal 6.72
Step-by-step explanation:
if u divide them it will equal 6.7 but his answer would of looked like 672
9n+1
2n+25.5
add the result of both equations together
Answers
During one waiter’s shift, he delivered appetizers, entrées, and desserts. What percentage of the dishes were desserts? appetizers? entrées? What do your percentages add up to?
15 desserts
10 entrees
15 appetizers
Answers
Answer:
percentage of the dishes were desserts = 37.5%
percentage of the dishes were entrees = 25%
percentage of the dishes were appetizers = 37.5%
Total percentage = 100%
Step-by-step explanation:
Desserts = 15
Entrees = 10
Appetizers = 15
Total dishes = desert + entrees + appetizers
= 15 + 10 + 15
= 40
What percentage of the dishes were desserts?
= 15 / 40 × 100
= 0.375 × 100
= 37.5%
What percentage of the dishes were entrees?
= 10 / 40 × 100
= 0.25 × 100
= 25%
What percentage of the dishes were appetizers?
= 15 / 40 × 100
= 0.375 × 100
= 37.5%
What do your percentages add up to?
Total percentage = 37.5% + 25% + 37.5%
= 100%
Paul is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Paul wants to get 46 balloons, how many yards of string will he need
Answers
Answer:
Paul needs 276 feet of string for his uncle's birthday party.
Step-by-step explanation:
From the problem we are given, we can simply break it down as follows:
Paul wants each balloon string to be 6 feet long.
Paul also wants to get 46 balloons with each of them having 6-feet long strings attached to them.
This means that Paul will need 6 feet ling strings 46 times (that is for all the 46 balloons)
to solve this mathematically, we multiply 46 X 6 to get 276 feet.
Therefore, Paul needs 276 feet of string for his uncle's birthday party.
Dion ordered a pizza from Domino’s. Domino’s charges 50 cents per topping.
What’s is the rate of change?
What’s the equation of the line?
Answers
Answer:
the answer is 50
Step-by-step explanation:
the answer is 50 because lets say the the amount for a plain pizza is $12 that will be your inital value. 50 is your rate of change cause they price is add onto by 50 cents per topping.
Find all the real zeros of the function : h(x) = -2 (x²+16) (x²-9)
Answers
i need help on how to find m and b
Answers
Answer:
y = [tex]-\frac{1}{2}x+3[/tex]
Step-by-step explanation:
Slope of line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is give by,
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through the points (0, 3) and (2, 2),
m = [tex]\frac{3-2}{0-2}[/tex] = [tex]-\frac{1}{2}[/tex]
Y-intercept 'b' of the given line in the graph is (3).
Since, equation of line with slope 'm' and y-intercept 'b' is,
y = mx + b
Therefore,equation of the line given in graph will be,
y = [tex]-\frac{1}{2}x+3[/tex]
Determine if the sequence is geometric. If it is, find the 8th term. *
3 points
-2, 8, -32, 128,...
O Not geometric
O Geometric; 8th term: 16384
O Geometric; 8th term: 32768
O Geometric; 8th term: 4096
Answers
Please give brainliest❤️
Find m ABD. Please help me.
Answers
Answer:
31x
Step-by-step explanation:
Were just looking at the top triangle because it has the points A,B, and D. now we solve for x (aka answer the equation in the parentheses). We need to get rid of the 22 so we only have x. We do that by adding it to itself so it equals 0. What we do to one side we do to the other. Now adding 22 to 9 we get 31 (put the x back).
9x - 22
+22 +22
9x - 22 = 31x
An oil rig has a height of 74.98 m visible above water and extends 518.16 m below the surface to the sea floor. What is the total height of the oil rig?
please help i really need help A.S.A.P :)
Answers
Answer:
So you know that the height that is visible above x=0 is 74.98 m From x=0 below it has a total height of 518.16m to the sea floorThat tells us that we have two parts account for
74.98+518.16m = 593.14 mStep-by-step explanation:
i know that I'm indian n u r Pakistani but can't we be friends I don't see my friend from where they belong just I need ur heart with me
Ill mark brainliest pls help
Answers
Answer:
Yes it is
Step-by-step explanation:
When will The Ghost of Christmas present cease to exist?
Answers
Answer:
never ever not in a million years
Step-by-step explanation:
The radius of a circle is 8 millimeters. What is the circle's area?
Use 3.14 for PI
Answers
Use the table to answer the question. X y -21-1 -1 -1 1 0 3 1 5 2 7 Which equation represents the relationship between x and y shown in the table? 1 O A. y = fx- -1 O B. y = x+3 Oc. C. y=2x-1 D. y = 2x + 3
Answers
Answer:
D. y = 2x + 3
Step-by-step explanation:
Use the table to answer the question.
x:-2 -1 0 1 2
y: -1 1 3 5 7
Which equation represents the relationship between x and y shown in the table.
Solution:
The table shows a linear relationship between x and y.
A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.
The table (x, y) has the points (-2, -1) and (0, 3). The equation is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-1)= \frac{3-(-1)}{0-(-2)} (x-(-2))\\\\y+1=2(x+2)\\\\y+1=2x+4\\\\y=2x+3[/tex]
Given h(x)=5x-2, find h(5)
Answers
Answer:
h(5)=23
Step-by-step explanation:
Reason Abstractly The inequalities 3x < 1 and 6x < 2 are equivalent inequalities. Writ e another inequality that
is equivalent to 3x < 1 and
6r<2.
Answers
Answer:
12x < 4
Step-by-step explanation:
6x < 2 is twice 3x < 1
so 12x < 4 is twice 6x < 2
PLEASE HELPPP ILL DO ANYTHINGGGG
Answers
Answer:
1. 16
2. 20
3. 6
4. 42
Step-by-step explanation:
you basically see where the numbers are and follow the dots down to see what number it lands on and the last one you add
A gymnast's score for a routine is calculated by finding the sum of a difficulty score and an execution score, minus any penalties. The execution score starts at 10 and is reduced by deductions. The gymnast's score can be represented by: 6.9 + (10 – 1.534) – 0.3. What is the gymnast's score?
Answers
Answer:
the gymnast score is 15.066
Step-by-step explanation:
The computation of the gymnast score is shown below:
Given that
6.9 + (10 - 1.534) - 0.3
Here the 10 denotes the execution score
6.9 denotes the difficulty score
0.3 denotes the penalties
Based on the above information, the gymnast score is
= 6.9 + (10 - 1.534) - 0.3
= 6.9 + 8.466 - 0.3
= 15.066
Hence, the gymnast score is 15.066
Find the x value of the system of equations. Use the technique of ELIMINATION to solve this problem. Proper work must be shown on your work submission. 3x-2y=4 5x+y=11 the answer choices are 2 , -1 , 1 , -2
Answers
Answer:
2
Step-by-step explanation:
Given the equation :
3x - 2y = 4 - - - (1)
5x + y = 11 - - - (2)
Multiply (1) by 1 and (2) by 2
3x - 2y = 4 - - - - - (3)
10x + 2y = 22 - - (4)
Add (3) and (4)
13x = 26
x = 26/13
x = 2
1. The price decreased from $25.00 to $10.00. Find the percent of decrease.
Answers
60% decrease
15 is 60% of 25
What is 60% of 25?
Y is 60% of 25
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 60% * 25
Converting percent to decimal:
p = 60%/100 = 0.6
Y = 0.6 * 25
Y = 15
Answer:
It decreased by 71%
Step-by-step explanation:
25 divided by 35
Please I really need help!!!
As fast as possible!!!
Answers
9514 1404 393
Answer:
x = 15
Step-by-step explanation:
Corresponding sides are proportional, so the ratios of bottom to left side are the same. The left side of the large triangle is 6+4=10.
x/10 = 9/6
x = 10(9/6) . . . . multiply by 10
x = 15
Find the greatest number which
divides 304 to leave a remainder
of 4 and which also divides 298
to leave a remainder of 4.
Answers
Answer:
304-4=300
300/30=10
298-4=294
294/3=98
PLEASE HELP ASAP!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
I WILL NAME BRAINLIEST
Answers
Answer:
J(8,4)K(4,10)L(12,12)M(14,10)
3D3L -> J(8,1)K(4,7)L(9,9)M(11,7)
2R3D -> J(10,1)K(6,7)L(14,9)M(16,7)
3L2UP -> J(5,6)K(1,12)L(9,14)M(11,12)
a car that was originally worth 29500$ it depreciates at a rate of 2500$ per year find the value of the car after six years
Answers
Answer:
14,500
Step-by-step explanation: Just took the test.
i need questions 1-8 pla
Answers
Answer:.
Step-by-step explanation:.
range: 4,-1,3,4
function: yes
2. domain: -4,-3,0,-3
range: 8,1,-5,2
function: no
3. domain: 5,3,0,2,5
range: 3,-3,1,-3,2
function: yes
4. domain: 3,1,0,2,4
range: -5,1,-3,4,-5
function: yes
5. domain: (5, infinity)
range: (-1, infinity)
function: yes
6. domain: 0,0,1,1,2,2,3,3,4,4,5,5
range: 0,-3,-4,-2,2,3
function: no
domain are all the x values, range are all the y value. if there an x value repeats it is not a function, if a y value repeats it doesnt matter.
i cant see question 7 and 8 but hoped this helped!
Perry is making a scrapbook with pictures of all his summer activities. He filled 6 pages with
24 pictures from his weekend at the beach. Perry has 44 pictures from his week at camp.
If Perry adds pictures to his scrapbook at the same rate, how many pages will he fill with his
camp pictures?
Answers
Answer: 188
Step-by-step explanation:
So first do
6 X 24=144+44=188
Tell me if I am right
Answer:
Step-by-step explanation:
11