[tex]C)(h\cdot g)(1)=10[/tex]
1) In this question, we need to multiply one function by the other, and then plug into the x-variable the quantity of x=1
2) So, we can write out the following:
[tex]\begin{gathered} h(x)=x^2+4 \\ g(x)=2x \\ (h\cdot g)(x)=(x^2+4)(2x) \\ (h\cdot g)(x)=2x^3+8x^2 \\ (h\cdot g)(1)=2(1)^3+8(1)^2 \\ (h\cdot g)(1)=2+8 \\ (h\cdot g)(1)=10 \end{gathered}[/tex]
So note that the point x=1 for that product of functions yields that output.
