Answer
a. The domain of the function is,
$36900\leq g\leq 89350,$
b. $5081.25\leq T\leq 18193.75,$
c. $g(T)=\frac{T+4143.75}{0.25},$
d. Domain of $g(T)$ is, $5081.25\leq T\leq 18193.75,$ and Range of $g(T)$ is that, $36900\leq g\leq 89350,$
Work Step by Step
$T(g)=5081.25+0.25(g-36900)$
a. The domain of the function is,
$36900\leq g\leq 89350,$
b. $T(36900)\leq T(g) \leq T(89350),$
$5081.25\leq T\leq 18193.75,$
c. $T=5081.25+0.25g-9225,$
$T=0.25g-4143.75,$
$g(T)=\frac{T+4143.75}{0.25},$
d. Domain of $g(T)$ is,
$5081.25\leq T\leq 18193.75,$ and Range of $g(T)$ is that,
$36900\leq g\leq 89350,$
