Answer
$a. 1$
$b. 2$
$c. -2$
$d. 0$
$e. -1$
$f. 0$
Work Step by Step
$a.\quad f(g(-1))=f(1)=1$
$b.\quad g(f(0))=g(-2)=2$
$c.\quad f(f(-1))=f(0)=-2$
$d.\quad g(g(2))=g(0)=0$
$e.\quad g(f(-2))=g(1)=-1$
$f.\quad f(g(1)=f(-1)=0$