Questions: Use the graphs of f and g shown below to evaluate the following expression. f(x) : g(x) : f(f(2))=

Use the graphs of f and g shown below to evaluate the following expression. f(x) : g(x) : f(f(2))=
Transcript text: Use the graphs of $f$ and $g$ shown below to evaluate the following expression. $f(x)$ : $g(x)$ : \[ f(f(2))= \]
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Solution

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Solution Steps

Step 1: Identify the value of \( f(2) \)

From the graph of \( f(x) \), locate the point where \( x = 2 \). The corresponding \( y \)-value is \( f(2) \).

Step 2: Evaluate \( f(f(2)) \)

Using the value obtained from Step 1, substitute it back into the function \( f \). This means finding \( f \) of the value obtained in Step 1.

Final Answer

  1. From the graph, \( f(2) = 4 \).
  2. Now, find \( f(4) \) from the graph. From the graph, \( f(4) = 1 \).

So, \( f(f(2)) = f(4) = 1 \).

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