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=(2)/(3)x-6`

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

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

Thus, option B is correct.