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use the graphs of f and g to evaluate the composite function. (f∘g)(-2)

Question

use the graphs of f and g to evaluate the composite function. (f∘g)(-2)

Explanation:

Step1: Find \(g(-2)\) from graph

On \(y=g(x)\) (red line), when \(x=-2\), \(y=0\). So \(g(-2)=0\).

Step2: Find \(f(g(-2))=f(0)\)

On \(y=f(x)\) (blue line), when \(x=0\), \(y=4\). So \(f(0)=4\).

Answer:

4