Question

Which function is the inverse of y - x-6?O A. y=x-33O B. y = 5 x +9O c. yC. y - x+4{XD. y = {x+66

Answer 1

Given a function:

$y=\frac{2}{3}x-6$

To find the inverse of a function, replace x and y and then solve for y.

$\begin{gathered} x=\frac{2}{3}y-6 \\ x+6=\frac{2}{3}y-6+6 \\ x+6=\frac{2}{3}y \\ \frac{3(x+6)}{2}=y \\ \frac{3}{2}x+9=y \end{gathered}$

Thus, option B is correct.