Find the inverse for each of the following functions. f(x) = 4x + 8 f(x) = g(a) = 8x – 6 9(x) = %3D To access the cube root, enter the answer cell, click on the yellow arrow at the right and then click on the function tab. 4. h(x): x+ 6 h(x) = j(æ) = Va+ 8

Find the inverse for each of the following functions. f(x) = 4x + 8 f(x) = g(a) = 8x – 6 9(x) = %3D To access the cube root, enter the answer cell, click on the yellow arrow at the right and then click on the function tab. 4. h(x): x+ 6 h(x) = j(æ) = Va+ 8

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.7: Inverse Functions

Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?

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Question

Find the inverse for each of the following functions.
f(x) = 4x + 8
f-1(2) =
g(x) = 8a³ – 6
g (x) =
-
- 1
%3D
To access the cube root, enter the answer cell, click on the yellow arrow at the right and then click on the
function tab.
4
h(x) :
%3D
x + 6
h (x) =
j(2) = V¤ + 8
(2) = [

Expert Solution

Step 1

Given:

$f (x) = 4 x + 8$

Inverse function:

Replace all x with y and y with x

$x = 4 y + 8$

Now, Solve $x = 4 y + 8$ for y

Interchange sides

$4 y + 8 = x$

$4 y = x - 8$

$f^{- 1} (x) = \frac{x}{4} - 2$

Step by step

Solved in 5 steps

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