Question

If f(x)=1/6x+12, then f^-1(x)=
PLEASE HELP

Answer 1

`f(x)=(1)/(6)x+12\to y=(1)/(6)x+12`

Change x to y, and y to x.

`x=(1)/(6)y+12`

solve for y:

`(1)/(6)y+12=x\ \ \ |-12\\\\(1)/(6)y=x-12\ \ \ \ |\cdot6\\\\y=6x-72`

Your answer is:

`f^(-1)(x)=6x-72`