Answer
a. $5$
b. $3$
c. $0$
d. not defined
e. $4$
f. $-2$
Work Step by Step
a.
$f(g(2))=\quad $($2,5$) on the graph of g
$= f(5)\quad $($5,5$) on the graph of f
$=5$
b.
$g(f(0))=\quad $ ($0,0$) on the graph of f
$g(0)=\quad $($0,3$) on the graph of g
$=3$
c.
$f(g(0))=\quad $($0,3$) on the graph of g
$=f(3) =\quad (3,0$) on the graph of {\it f}
$=0$
d.
$g(f(6))==\quad (6,6$) on the graph of {\it f}
$=g(6)$ is not defined (no point on teh grpah of g with x coordinate of 6)
e.
$(g\circ g)(-2)=\quad $($-2,1$) on the graph of g
$=g(1)=\quad $($1,4$) on the graph of g
$=4$
f.
$(f\circ f)(4)=\quad $($4,2$) on the graph of f
$=f(2)=\quad $($2,-2$) on the graph of f
$=-2$
