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QUESTION IMAGE

evaluate: $g(f(5))$

Question

evaluate: $g(f(5))$

Explanation:

Step1: Find \( f(5) \)

From the graph of \( y = f(x) \), when \( x = 5 \), \( y=f(5)= - 2 \).

Step2: Find \( g(f(5)) \)

Since \( f(5)=-2 \), we need to find \( g(-2) \).
From the graph of \( y = g(x) \), when \( x=-2 \), \( y = g(-2)=8 \).

Answer:

\(8\)