Answer
a) $x=-6$; b) $[-6,5)$
Work Step by Step
a) $f(x)=g(x)$
The intersection points of the graphs of $f$ and $g$ is $(-6,-5)$. The solution of the given equation is the $x$-coordinate of the intersection point:
$x=-6$
b) $g(x)\leq f(x)\lt g(x)$
The solution of the inequality consists of the values of $x$ for which the graph of $f$ is above or equal to the graph of $g$ and below the graph of $h$:
$x\in[-6,5)$
