Question

Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is h ( g ( -4 ) ) ?

Answer 1

`\bf \begin{cases} f(x)=2x-1\\ g(x)=3x\\ h(x)=x^2+1 \end{cases}\\\\ -------------------------------\\\\ g(-4)=3(-4)\implies \boxed{g(-4)=-12} \\\\\\ h(~~g(-4)~~)\implies h\left( \boxed{-12} \right)\implies h(-12)=(-12)^2+1 \\\\\\ h(-12)=144+1`