Question

Use the function values for f and g shown in the table below to evaluate the following expression.

Answer 1

$2$

1) We can do it in parts. So, let's check the table for g(2).

We can tell that at x=2 g(2) yields 6

$f(g(2))=f(6)$

2) Now, for the last part of this composition, we can resort to the table again and tell that:

$\begin{gathered} f(6)=2 \\ \\ Thus\:f(g(2))=2 \end{gathered}$

Thus, this is the answer.