Hello!
The answer is: a. 40
Why?
We are working with composite functions, so, to find the correct option, first we need to follow the composite function process:
[tex](h\circ g)=h(g(x))[/tex]
So,
We are given the functions:
[tex]g(x)=2x\\\\h(x)=x^{2}+4[/tex]
So,
[tex](h\circ g)(x)=(2x)^{2}+4[/tex]
Then, evaluating with "x" equal to -3, we have:
[tex](h\circ g)(-3)=(2*-3)^{2}+4=(-6)^{2}+4=36+4=40[/tex]
So, the correct option is a. 40
Have a nice day!
