Answer
(a) $\frac{9}{4}$, $(-1,\frac{9}{4})$.
(b) $3$, $(3,66)$.
Work Step by Step
(a) Given $g(x)=4^x+2$, we have $g(-1)=4^{-1}+2=\frac{9}{4}$ which gives point $(-1,\frac{9}{4})$.
(b) $66=4^x+2$, thus $x=3$ which gives point $(3,66)$ on the graph.
