Answer:
0
Step-by-step explanation:
[tex]\text{If } g(x)=f^{-1}(x);$ and:$\\g(-15)=0,$ g(0)=3, g(3)=9, g(9)=20[/tex]
We are to determine the value of [tex]f(f(9)).[/tex]
Now:
[tex]g(0)=f^{-1}(0)=3\\g(3)=f^{-1}(3)=9[/tex]
From:
[tex]g(3)=f^{-1}(3)=9\\f(9)=3[/tex]
From:
[tex]g(0)=f^{-1}(0)=3\\f(3)=0[/tex]
Therefore:
[tex]f(f(9))=f(3)=0[/tex]
