Chapter 3.3, Problem 78AYU

In Problems 77-82, for the given functions $f\text{ and }g$,

(a) Graph $f\text{ and }g$ on the same Cartesian plane.

(b) Solve $f\left(x\right)=g\left(x\right)$.

(c) Use the result of part (b) to label the points of intersection of the graphs of $f\text{ and }g$.

Shade the region for which $f\left(x\right)>g\left(x\right)$, that is, the region below $f$ and above $g$.

$f\left(x\right)=-x^2+9;g\left(x\right)=2x+1$