Question

G(x)=2x-2f(x)=4x-1Find (g*f) (-9)

Answer 1

Given:

`\begin{gathered} g(x)=2x-2 \\ f(x)=4x-1 \end{gathered}`

The expression for g(f(x)) is,

`\begin{gathered} g(f(x))=2(f(x))-2 \\ =2(4x-1)-2 \\ =8x-2-2 \\ =8x \end{gathered}`

Substitute x=-9 in the above expression.

`\begin{gathered} g(f(-9))=8*-9 \\ =-72 \end{gathered}`

Thus, the final value of the expression is -72.