Answer:
[tex](h(g))(-2)=-32[/tex]
Step-by-step explanation:
Evaluate h ⋅ g
Replace the function designators in h ⋅ g with the actual functions.
[tex](h(g))(-2)=(x^{2} +4)(2x)[/tex]
[tex]=2x^{2}x+8x[/tex]
Multiply [tex]x^{2}[/tex] by x by adding the exponents.
[tex]=2x^{3}+8x[/tex]
Evaluate h ⋅ g at −2.
[tex]=2(-2)^{3}+8(-2)[/tex]
Simplify
[tex]=-16-16[/tex]
subtract 16 from -16
[tex](h(g))(-2)=-32[/tex]
