Question

I need help on the last two finding the function notation

Answer 1

`f(x)=3x+5`
`\begin{gathered} f(f)=3(3x+5)+5 \\ f(f)=(3\cdot3x)+(3\cdot5)+5 \\ f(f)=9x+15+5 \\ f(f)=9x+20 \end{gathered}`

For the second before last f(f), you have to replace x with the function f(x).

For the last one you have to replace x with the function g(x)

`g(x)=2x^2+1`
`\begin{gathered} f(g)=3(2x^2+1)+5 \\ f(g)=(3\cdot2x^2)+(3\cdot1)+5 \\ f(g)=6x^2+3+1 \\ f(g)=6x^2+4 \end{gathered}`