Question

Given the definitions of f(x) and g(2) below, find the value of g(f(-3))f(x) = -3x – 12g(x) = 3x2 – 2x – 14

Answer 1

Given data:

Itis given that

`\begin{gathered} f(x)=-3x-12 \\ g(x)=3x^2-2x-14 \end{gathered}`

Now to calcualte g(f(-3)) first let us calculate f(-3)

`\begin{gathered} f(-3)=-3(-3)-12 \\ =9-12 \\ =-3 \end{gathered}`

Now, g(f(-3)) will be

`\begin{gathered} g(f(-3))=g(-3) \\ =3(-3)^2-2(-3)-14 \\ =3(9)+6-14 \\ =27-8 \\ =19 \end{gathered}`

So, value of g(f(-3)) is 19.