Question

Given the following table with selected values of f (x) and g(x), evaluate f (g(3)).

Answer 1

The given functions are f(x) and g(x)

We want to evaluate f(g(3))

The first step is to find g(3). We would look at the row containing the values of x and select x = 3. We would trace it downwards to the row containging g(x). Where they meet is g(3)

therefore, g(3) = - 4

To get f(g(3)), we would locate x = - 4 on the first row. We would trace it downwards to the row containing f(x). Where they meet is f(g(3))

Thus,

f(g(3)) = - 1