Question

G(2) = 9x - 2h(x) = 3x2 + 2xWrite h(g(x)) as an expression in terms of x.h(h(g(x)) =

Answer 1

In order to calculate the composite function h(g(x)), we need to switch x by g(x) in the function h(x).

So we have:

`\begin{gathered} h(x)=3x^2+2x \\ h(g(x))=3g(x)^2+2g(x) \\ h(g(x))=3(9x-2)^2+2(9x-2) \\ h(g(x))=3(81x^2-36x+4)+18x-4 \\ h(g(x))=243x^2-108x+12+18x-4 \\ h(g(x))=243x^2-90x+8 \end{gathered}`