Question

If f(x)=1/9x - 2, what is f^-1 (x)

Answer 1

`f(x)=(1)/(9)x-2\to y=(1)/(9)x-2`

exchange x with y

`x=(1)/(9)y-2`

solve for y

`(1)/(9)y-2=x` add 2 to both sides

`(1)/(9)y=x+2` multiply both sides by 9

`y=9x+18`

Answer:
`f^(-1)(x)=9x+18`