Questions: f(g(4))=2 g(f(3))=2 f(f(2))=1 g(g(5))=3

f(g(4))=2 g(f(3))=2 f(f(2))=1 g(g(5))=3
Transcript text: $\begin{array}{l}f(g(4))=2 \\ g(f(3))=2 \\ f(f(2))=1 \\ g(g(5))=3\end{array}$
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Solution

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Solution Steps

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

From the graph of \( g(x) \), find the value of \( g(4) \).

  • Locate \( x = 4 \) on the horizontal axis of the \( g(x) \) graph.
  • The corresponding \( y \)-value is \( g(4) = 2 \).
Step 2: Evaluate \( f(g(4)) \)

Using the result from Step 1, find \( f(g(4)) \).

  • Substitute \( g(4) = 2 \) into \( f(x) \).
  • Locate \( x = 2 \) on the horizontal axis of the \( f(x) \) graph.
  • The corresponding \( y \)-value is \( f(2) = 2 \).

Final Answer

\[ f(g(4)) = 2 \]

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