We solve the equation f(y) = x for y as follows. f(y) = x 4y+5 3y-6 =X 4y + 5 = x(3y - 6) 4y + 5 = 3xy - 6x 4y - 3xy = -6x - 5 (4-3x)y = -6x-5 y = 6x-5 4-3x Thus, the equation of the inverse function is X= (4y + 5) (3y-6) x

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.FR3: A Further Look: Definition Of A Function
Problem 8E
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Can you help with the last one? I can't figure out how it's wrong?

We solve the equation f(y) = x for y as follows.
f(y) = x
4y+5
3y - 6
✓
= X
4y + 5 = x(3y - 6)
4y + 5 = 3xy - 6x
4y - 3xy = -6x - 5
(43x)y = -6x - 5
y =
-6x - 5
4-3x
✓
Thus, the equation of the inverse function is X=
(4y + 5)
(3y-6)
X
Transcribed Image Text:We solve the equation f(y) = x for y as follows. f(y) = x 4y+5 3y - 6 ✓ = X 4y + 5 = x(3y - 6) 4y + 5 = 3xy - 6x 4y - 3xy = -6x - 5 (43x)y = -6x - 5 y = -6x - 5 4-3x ✓ Thus, the equation of the inverse function is X= (4y + 5) (3y-6) X
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