Question

Let g(x) = 5x + 7 and h(x) = x + 2. Find the expression.(h o g)(x) =(Simplify your answer. Do not factor.)

Answer 1

$\begin{gathered} g\mleft(x\mright)=5x+7 \\ h\mleft(x\mright)=x+2 \\ (h\cdot g)(x)=(x+2)(5x+7)\Rightarrow x(5x+7)+2(5x+7) \\ (h\cdot g)(x)=5x^2+7x+10x+14 \\ (h\cdot g)(x)=5x^2+17x+14 \end{gathered}$