Question

Determine if the two functions f and g are inverses of each other

algebraically. If not, why not?
f(x) = 9x + 12; g(x) = x-12/9

Answer 1

Yes.

Explanation:

`f(g(x))`

`f((x-12)/(9))`

( I will have to replace all
`x`'s in
`9x+12` with
`((x-12)/(9)`)

`9((x-12)/(9))+12`

`(x-12)+12`

`x-12+12`

`x+(-12+12)`

`x+0`

`x`

So the answer is yes.