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QUESTION IMAGE

te. 2x + 5 g(x) is as defined in the function below. (g)(3).

Question

te.
2x + 5
g(x) is as defined in the function below.
(g)(3).

Explanation:

Step1: Find \(g(3)\)

From the graph, when \(x = 3\), \(g(3)=1\)

Step2: Find \(f(g(3))\)

Since \(g(3) = 1\), then \(f(g(3))=f(1)\)
Given \(f(x)=2x + 5\), substitute \(x = 1\) into \(f(x)\): \(f(1)=2\times1+5\)
\(f(1)=2 + 5=7\)

Answer:

\(7\)