Answer
a) $= -3$
b) $= -6$
c)$= 2$
d)$= 3$
e) $= -2$
f) $= 3$
g) They are inverse functions of each other. Where the inverse of $f(x)$ is $g(x)$.
Work Step by Step
a) $f[g(-3)]$
$= f(2)$
$= -3$
b) $g[f(-6)]$
$= g(3)$
$= -6$
c) $g[f(2)]$
$= g(-3)$
$= 2$
d) $f[g(3)]$
$= f(-6)$
$= 3$
e) $f[g(-2)]$
$= f(3)$
$= -2$
f) $g[f(3)]$
$= g(-2)$
$= 3$
g) They are inverses of each other since their $x$ and $y$ values swap as you move between the functions $f(x)$ and $g(x)$.
