Question

use the graphs of f and g to evaluate the composite function.
\\((f \circ g)(2)\\)

\\((f \circ g)(2) = \square\\)

Explanation:

Define the composite function

Using the Function Composition knowledge point

$$ (f \circ g)(2) = f(g(2)) $$

Evaluate the inner function from the graph

Using the Function Composition knowledge point

$$
LATEXBLOCK0
$$

Evaluate the outer function from the graph

Using the Function Composition knowledge point

$$
LATEXBLOCK1
$$

Combine the results

Using the Function Composition knowledge point

$$ (f \circ g)(2) = f(g(2)) = f(-2) = 6 $$

Answer:

Use the graphs of f and g to evaluate the composite function.
\((f \circ g)(2) =\) <blank>6</blank>