Question

Pre calculus homework please help

Answer 1

`\begin{cases} f(x)=5x-2\\\\ g(x)=x^2-5x+11\\\\ (f\circ g)(x)=f(~~g(x)~~) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(1)=(1)^2 -5(1)+11\implies g(1)=7 \\\\\\ f(~~g(1)~~)\implies f(~~7~~)=5(7)-2\implies \stackrel{(f\circ g)(1)}{f( ~~ 7 ~~ )}=33`