Question

Find f(g(x)) and g(f(x)) 1. F(x) = -7x+3 g(x)=2x-11

Answer 1

$\begin{gathered} \\ f\lbrack g(x)\rbrack=\text{ -14x+80} \\ g\lbrack f(x)=-14x-5 \end{gathered}$$\begin{gathered} \\ F\lbrack g(x)\rbrack=\text{ -7(2x-11)+3} \\ =\text{ -14x+77+3} \\ =-14x+80 \end{gathered}$$\begin{gathered} g\lbrack f(x)\rbrack=2(-7x+3)-11 \\ =-14x+6-11 \\ =-14x-5 \end{gathered}$