Question

Let f(x) = 3x2 - 6 and g(x) = 5 - 5x(fog)(x) =

Answer 1

Given

`\begin{gathered} f(x)=3x^2-6 \\ g(x)=5-5x \end{gathered}`

Procedure

`\begin{gathered} (f\circ g)(x)=f(g(x)) \\ (f\circ g)(x)=3(5-5x)^2-6 \\ (f\circ g)(x)=3(25-50x+25x^2)-6 \\ (f\circ g)(x)=75x^2-150x+69 \end{gathered}`