# Thread: How to solve for this composite function?

1. ## How to solve for this composite function?

How do I find the answer to this?

2. ## Re: How to solve for this composite function?

from the graph, note $f(0)=f(3)=3$

$g(x) = 0$ at $x=-1$ and $x=4$

$g(x) = 3$ at $x=1$ and $x=2$

$x \in \{-1,1,2,4 \}$, where $f[g(x)]=3$