Questions: Use the graphs to evaluate the expressions below. f(g(5))= g(f(3))= f(f(2))=

Use the graphs to evaluate the expressions below. f(g(5))= g(f(3))= f(f(2))=
Transcript text: Use the graphs to evaluate the expressions below. \[ f(g(5))= \] $\square$ \[ g(f(3))= \] $\square$ \[ f(f(2))= \] $\square$ ![](https://cdn.mathpix.com/cropped/2024_08_26_4f38ed32a68d17d3c38ag.jpg?height=526&width=979&top_left_y=99&top_left_x=139)
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Solution

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Solution Steps

Step 1: Evaluate g(5)

From the graph of \( g(x) \), find the value of \( g(5) \).

  • \( g(5) = 3 \)
Step 2: Evaluate f(g(5))

Using the result from Step 1, find \( f(3) \) from the graph of \( f(x) \).

  • \( f(3) = 5 \)

Final Answer

\[ f(g(5)) = 5 \]

Step 1: Evaluate f(3)

From the graph of \( f(x) \), find the value of \( f(3) \).

  • \( f(3) = 5 \)
Step 2: Evaluate g(f(3))

Using the result from Step 1, find \( g(5) \) from the graph of \( g(x) \).

  • \( g(5) = 3 \)
Final Answer

\[ g(f(3)) = 3 \]

Step 1: Evaluate f(2)

From the graph of \( f(x) \), find the value of \( f(2) \).

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

Using the result from Step 1, find \( f(2) \) from the graph of \( f(x) \).

  • \( f(2) = 2 \)
Final Answer

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

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