Question

Finding values and composition

Suppose f(x)=3x-3, g(x)=x+1, h(x)=x^2+2 and k
(x)=|x+4| Find the following:

f(k(2))

Answer 1

\[f(x)=3x-3\\
k(x)=|x+4|\]
So,
\[f(k(x))=3|x+4|-3\]
and
\[f(k(2))=3|2+4|-3=\cdots\]