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.