Question

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

Explanation:

Define the composition

Using the Function Composition knowledge point

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

Evaluate the inner function

Using the Function Composition knowledge point

$$
LATEXBLOCK0
$$

Evaluate the outer function

Using the Function Composition knowledge point

$$
LATEXBLOCK1
$$

Compute the final value

Using the Function Composition knowledge point

$$ (f \circ g)(2) = f(g(2)) = f(2) = -3 $$

Answer:

Use the graphs of f and g to evaluate the composite function.
\((f \circ g)(2) =\) <blank>\(-3\)</blank>