Question

Let

f(x) = 2x − 3

and

g(x) = 3x − 2.

Find the value.

(g ∘ f)(−6)

(g ∘ f)(−6) = (No Response)

-47

 

Answer 1

(g ∘ f)(x)=g(f(x));

f(-6)=2(-6)-3=-12-3=-15; g(-15)=3(-15)-2=-45-2=-47.

So (g ∘ f)(-6)=-47.

This can also be solved:

g(f(x))=3(2x-3)-2=6x-9-2=6x-11.

Put x=-6: g(f(-6))=6(-6)-11=-36-11=-47.