Answer
$\text{a) }
g(40)\approx-3
\\\text{b) }
x\approx10$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the information in the given graph.
$\bf{\text{Solution Details:}}$
To estimate $
g(40)
,$ find the value of $y$ when $x=
40
.$ Based on the graph, then $
g(40)\approx-3
.$
To estimate $
g(x)=-2
,$ find the value of $x$ when $y=
-2
.$ Based on the graph, $
x\approx10
.$
The answers are
\begin{array}{l}\require{cancel}
\text{a) }
g(40)\approx-3
\\\text{b) }
x\approx10
.\end{array}