Answer
a. $18150\leq g \leq 73800$
b. $1815\leq T(g)\leq 10162.5,$
c. Domain of $g(T)$ is $1815\leq T\leq 10162.5$ and Range of $g(T)$ is $18150\leq g(T) \leq 73800$
Work Step by Step
$T(g)=1815+0.15(g-18150)$
$T(g)=1815+0.15g-2722.5,$
$T(g)=0.15g-907.5,$
a. Domain of $T(g)$ is $18150\leq g \leq 73800$
b. $T(18150)\leq T(g)\leq T(73800),$
$1815\leq T(g)\leq 10162.5,$
c. $g(T)=\frac{T+907.5}{0.15},$
Domain of $g(T)$ is $1815\leq T\leq 10162.5$ and Range of $g(T)$ is $18150\leq g(T) \leq 73800$
