Question

Fill in the blank h(-5) • g(-2) = ________g(x) = x2. h(x) = 3x - 2

Answer 1

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:

`\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}`

Now we can calculate the product of h(-5) and g(-2):

`h(-5)\cdot g(-2)=(-17)\cdot4=-68`

So the value to fill the blank is -68.