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

Answer:

0

Step-by-step 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:

$f(f(9))=f(3)=0$