Question

If fx()=8-10x and g(x)=5x+4, what is the value of (fg)(-2)

Answer 1

So, we are looking for F of G of 2. So, we need to work backwards and find G(x) first.

$g(-2)=5(-2)+4\\g(-2)=-6$

So we know that g(-2) = -6, now we take thatt -6 and plug in into f(x)

$f(g(-2))=f(-6)\\f(-6)=8-10(-6)\\f(-6)=8+60\\f(-6)=68$

68 is the answer