Question

given f(x)= 4x^(2), g(x)= -5x-3, and h(x)= √(x ) find [(f+g)oh](x)

Answer 1

\[f(x)=4x^2,g(x)=-5x-3,(f+g)(x)=4x^2-5x-3\]
\[(f+g)\circ h(x)=(f+g)(h(x))=(f+g)(\sqrt{x})=4(\sqrt{x})^2-5\sqrt{x}-3\]

Answer 2

you can clean it up a little and write
\[4x^2-5\sqrt{x}-3\]