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
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
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.
\( f(y) = x \)
\[
\frac{4y + 5}{3y - 6} = x
\]
✔
\[
4y + 5 = x(3y - 6)
\]
\[
4y + 5 = 3xy - 6x
\]
\[
4y - 3xy = -6x - 5
\]
\[
(4 - 3x)y = -6x - 5
\]
\[
y = \frac{-6x - 5}{4 - 3x}
\]
✔
Thus, the equation of the inverse function is
\[
x = \frac{(4y + 5)}{(3y - 6)}
\]
✖](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc49c9615-4f22-4f84-a617-639a09f12ba4%2Fa1aee64b-d648-400c-97fa-0a33264455b2%2Fb64dx5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:We solve the equation \( f(y) = x \) for \( y \) as follows.
\( f(y) = x \)
\[
\frac{4y + 5}{3y - 6} = x
\]
✔
\[
4y + 5 = x(3y - 6)
\]
\[
4y + 5 = 3xy - 6x
\]
\[
4y - 3xy = -6x - 5
\]
\[
(4 - 3x)y = -6x - 5
\]
\[
y = \frac{-6x - 5}{4 - 3x}
\]
✔
Thus, the equation of the inverse function is
\[
x = \frac{(4y + 5)}{(3y - 6)}
\]
✖
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