Question

G(x) = -4x-2 f(x) = x² + 5x Find (gºf)(-8)

Answer 1

We have two functions

`g\mleft(x\mright)=-4x-2`
`f\mleft(x\mright)=x^2+5x`

We need to find the composition

`\mleft(g\circ f\mright)\mleft(-8\mright)​`

First we can evaluate the value x=-8 in f(x)

`f(-8)=(-8)^2+5(-8)=64-40=24`

Then we substitute the previous result in g(x), g(24)

`g(24)=-4(24)-2=-96-2=-98`

Therefore, the result is -98