Question

Given: F(x) = 3x2+ 1, G(x) = 2x - 1, H(x) = x

F o G =

Answer 1

F o G = \(F(~\color{red}{G(x)}~)\)

you know:

\(F(x) = 3x^2+ 1\)

and this way you can say:

\(F(\color{red}{G(x)}) = 3(\color{red}{G(x)})^2+ 1~~\)

You know what G(x) is equal to, so sub that into your right side:

\(F(\color{red}{G(x)}) = 3(\color{red}{2x-1})^2+ 1~~\)

\(F~o~G = 3(\color{red}{2x-1})^2+ 1~~\)