#### Answer

g(x)

#### Work Step by Step

The graph of $f(x)=4^{x}$ passes through (0,1) and (1,4)
($4^{0}=1$ and $4^{1}=4).$
This graph is not $f(x)=4^{x}$.
This graph passes through (0,1) and ($-1,4$),
which are reflections of the above points about the y-axis.
A reflection about the y-axis of the function $f(x)$ is $f(-x)$.
So this function is $f(-x)=4^{-x}=g(x)$