Questions: Given the following graph of two functions, find (f ∘ g)(4).

Given the following graph of two functions, find (f ∘ g)(4).
Transcript text: Given the following graph of two functions, find $(f \circ g)(4)$.
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Solution

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Solution Steps

Step 1: Identify \( g(4) \)

From the graph, locate the point where \( x = 4 \) on the function \( g \). The value of \( g(4) \) is the y-coordinate of this point.

Step 2: Determine \( f(g(4)) \)

Using the value obtained from \( g(4) \), find the corresponding y-coordinate on the function \( f \). This value is \( f(g(4)) \).

Step 3: Calculate \( (f \circ g)(4) \)

Combine the results from the previous steps to find \( (f \circ g)(4) \).

Final Answer

  1. From the graph, \( g(4) = 2 \).
  2. Using \( g(4) = 2 \), find \( f(2) \) from the graph. \( f(2) = 4 \).
  3. Therefore, \( (f \circ g)(4) = 4 \).
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