g(h(-1)=7
1) For this composite function, we must remember to plug inside the parentheses the value needed.
g(x)=x²-2
h(x)=3x
g(h(-1)) =
2) Or step by step:
g(h(-1))= (3(-1))²-2
g(h(-1) =(-3)²-2
g(h(-1)= 9-2
g(h(-1)=7
If we plug in h(-1) we'll have
h(-1) =3(-1)
h(-1) =-3
plugging in this value in g(x)
g(h(-1))= (-3)²-2
g(h(-1))=9-2 = 7