Question

I need help understanding and finding the solution for (g(2))

Answer 1

In order to find f(g(2), we need to find g(2) first. So we have

`g(2)=3(2)-5`

which gives

`\begin{gathered} g(2)=6-5 \\ g(2)=1 \end{gathered}`

So, we have that

`f(g(2))=f(1)`

Then, by replacing the number 1 in the place of x on f(x), we get

`f(1)=2(1)^2+1`

which gives

`f(1)=2+1=3`

Therefore, the answer is:

`f(g(2))=3`