To find \((f - g)(0)\), you need to evaluate the difference between the functions \(f(x)\) and \(g(x)\) at \(x = 0\). Here's how you can do it:

1. **Evaluate \(f(0)\):**
   - Look at the graph of \(f(x)\) (the red curve) and find the value of \(f(0)\).
   - From the graph, at \(x = 0\), \(f(0) = 1\).

2. **Evaluate \(g(0)\):**
   - Look at the graph of \(g(x)\) (the blue line) and find the value of \(g(0)\).
   - From the graph, at \(x = 0\), \(g(0) = 2\).

3. **Calculate \((f - g)(0)\):**
   \[
   (f - g)(0) = f(0) - g(0) = 1 - 2 = -1
   \]

So, \((f - g)(0) = -1\).

Would you like any further explanation or have any additional questions?

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Here are some related questions to deepen your understanding:

1. How would you interpret the graph of the function \(f(x) - g(x)\)?
2. What is the domain of the difference of two functions?
3. How do you determine the range of \(f(x) - g(x)\)?
4. Can you express \((f + g)(x)\) using the same steps we used here?
5. How does the vertical translation of a function affect its graph?

**Tip:** Always carefully observe the signs when subtracting functions, as it can significantly affect the outcome.

Learn how to evaluate (f - g)(0) for functions f(x) and g(x) with a step-by-step solution. Understand the process of subtracting functions and calculating their values at specific points. Suitable for high school students.

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