Answer
a) $x=7$; b) $[-4,7)$
Work Step by Step
a) $f(x)=g(x)$
The intersection points of the graphs of $f$ and $g$ is $(7,-8)$. The solution of the given equation is the $x$-coordinate of the intersection point:
$x=7$
b) $g(x)\lt f(x)\leq h(x)$
The solution of the inequality consists of the values of $x$ for which the graph of $f$ is above the graph of $g$ and below or equal to the graph of $h$:
$x\in[-4,7)$
