Question

Suppose that $g(x)=f^{-1}(x)$. If $g(-15)=0$, $g(0)=3$, $g(3)=9$ and $g(9)=20$, what is $f(f(9))$?

Answer 1

0

Explanation:

`\text{If } g(x)=f^(-1)(x);$ and:$\\g(-15)=0,$ g(0)=3, g(3)=9, g(9)=20`

We are to determine the value of
`f(f(9)).`

Now:

`g(0)=f^(-1)(0)=3\\g(3)=f^(-1)(3)=9`

From:

`g(3)=f^(-1)(3)=9\\f(9)=3`

From:

`g(0)=f^(-1)(0)=3\\f(3)=0`

Therefore:

`f(f(9))=f(3)=0`