Question

g(2) = 6 and f(6) = 18, then (f o g)(2)

Answer 1

(fog)(2)=f(g(2))
g(2)=6

Answer 2

f(6)=???

Answer 3

we plugged in the value of g(2)
in f(g(2))

Answer 4

g(2)=6
so replace g(2) by 6

Answer 5

f(g(2))=f(6)=?

Answer 6

\(\textrm{here is one method}\)
\(\large\tt \begin{align} \color{black}{g(2) = 6 \\
\text{hence}\\
g(x)=3x\\
f(6) = 18\\
\text{hence}\\
f(x)=3x\\
(f o g)(x)=3(3x)\\
(f o g)(2)=3(3\times 2)\\
=18\\}\end{align}\)