https://file.aiquickdraw.com/mathbot/file/1728693408339drw1ka2i.jpg

​(c) 

left parenthesis f minus g right parenthesis left parenthesis 5 right parenthesis(f−g)(5)equals=

From the graph provided, we need to compute \((f - g)(5)\), which is the difference between the values of \(f(5)\) and \(g(5)\).

### Step-by-step breakdown:
1. **Find \( f(5) \):**
   From the graph, the point where \( x = 5 \) on the function \( f(x) \) (the red line) is labeled as \( (5, 0) \). Therefore, \( f(5) = 0 \).

2. **Find \( g(5) \):**
   The point where \( x = 5 \) on the function \( g(x) \) (the blue curve) is labeled as \( (5, -2) \). Therefore, \( g(5) = -2 \).

3. **Compute \((f - g)(5)\):**
   \[
   (f - g)(5) = f(5) - g(5) = 0 - (-2) = 0 + 2 = 2
   \]

### Final Answer:
\[
(f - g)(5) = 2
\]

Do you need more details or have any questions?

Here are 5 related questions to expand on this:
1. What is \( (f + g)(5) \)?
2. Can you compute \( (f - g)(1) \)?
3. What are the zeros of the function \( g(x) \)?
4. How would you determine \( f(x) = g(x) \) from the graph?
5. What is the domain and range of \( g(x) \)?

**Tip:** When subtracting two functions, evaluate them at the given input first before performing the subtraction.

Learn how to solve (f−g)(5) by evaluating the values of f(5) and g(5) from the given graph. This problem demonstrates function subtraction and graph interpretation, suitable for students in Grades 9-12.

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