Question

Please Help Me With This problem

Answer 1

Answer:

250

Step-by-step explanation:

First, we need to find h°g, which is the same thing as $h(g(x))$

This means that we will take the function $h(x)$ and will replace each instance of x with $x^2+x-6$ as that is the value of $g(x)$

$h(x)=5x\\\\h(g(x))=5g(x)\\\\h(g(x))=5(x^2+x-6)\\\\h(g(x))=5x^2+5x-30$

Now that we have our composed function, we can find the y-value when $x=7$

$h(g(7))=5(7^2)+5(7)-30\\\\h(g(7))=5(49)+35-30\\\\h(g(7))=245+5\\\\h(g(7))=250$