Answer
$\text{(a) }x=5$
$\text{(b) }x=-15$
$\text{(c) }x=15$
$\text{(d) }(-\infty,5)$
$\text{(e) }[-15,\infty)$
$\text{(f) }(-15,15)$
Work Step by Step
Use the given figure, we have:
(a) For $g(x)=20$, we can identify $x=5$
(b) For $g(x)=60$, we can identify $x=-15$
(c) For $g(x)=0$, we can identify $x=15$
(d) For $g(x)\gt20$, we have $x\lt 5$ or $(-\infty,5)$
(e) For $g(x)\le60$, we have $x\ge -15$ or $[-15,\infty)$
(f) For $0\lt g(x)\lt60$, we have $-15\lt x\lt 15$ or $(-15,15)$
