Question

The functions q and r are defined as follows.

q(x)=2x + 2
r(x)=-2x²-2
Find the value of r(q(2)).

Answer 1

Explanation:

`r(x)=-2x^2-2\\ \\ q(x)=2x+2\\ \\ r(q(x))=-2(2x+2)^2-2\\ \\ r(q(2))=-2(2(2)+2)^2-2\\ \\ r(q(2))=-2(6^2)-2\\ \\ r(q(2))=-2(36)-2\\ \\ r(q(2))=-72-2\\ \\ r(q(2))=-74`