The first step to solve this question is to find the values of h(-5) and g(-2)
In order to do that, you need to use the value of x=-5 in the function h(x) and x=-2 in the function g(x).
So we have that:
[tex]\begin{gathered} g(x)=x^2 \\ g(-2)=(-2)^2=4 \\ \\ h(x)=3x-2 \\ h(-5)=3\cdot(-5)-2=-15-2=-17 \end{gathered}[/tex]Now we can calculate the product of h(-5) and g(-2):
[tex]h(-5)\cdot g(-2)=(-17)\cdot4=-68[/tex]So the value to fill the blank is -68.
