Answer
(a) $ 81$.
(b) $ 2$.
(c) $ \frac{1}{9}$.
(b) $ -3$.
Work Step by Step
Given $f(x)=3^x$ and $g(x)=log_3(x)$, we have:
(a) $f(4)=3^4=81$.
(b) $g(9)=log_3(9)=log_3(3^2)=2$.
(c) $f(-2)=3^{-2}=\frac{1}{9}$.
(b) $g(\frac{1}{27})=log_3(\frac{1}{27})=log_3(3^{-3})=-3$.
