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:

$f(g(2))=3$