Question

Given the following table with selected values of f (x) and g(x), evaluate f (g(4)).

Answer 1

To find the value of f(g(4)), first, find the value of g(4).

According to the table, if x=4 then g(x)=-6. Then:

$\begin{gathered} g(4)=-6 \\ \Rightarrow f(g(4))=f(-6) \end{gathered}$

According to the table, if x=-6 then f(x)=4. Then:

$f(-6)=4$

Therefore:

$f(g(4))=4$

The answer is 4.