If f(x)=2x-5 then what is the value of f(2) + f(5)?

To find the value of \( f(2) + f(5) \) for the given function \( f(x) = 2x - 5 \), we need to calculate both \( f(2) \) and \( f(5) \) individually.

1. **Calculate \( f(2) \):**
   \[
   f(2) = 2(2) - 5 = 4 - 5 = -1
   \]

2. **Calculate \( f(5) \):**
   \[
   f(5) = 2(5) - 5 = 10 - 5 = 5
   \]

3. **Now, add \( f(2) \) and \( f(5) \):**
   \[
   f(2) + f(5) = -1 + 5 = 4
   \]

Thus, the value of \( f(2) + f(5) \) is **4**.

Would you like further details or clarifications on this?

Here are 5 related questions to expand on this topic:
1. What is \( f(3) + f(4) \) for the same function \( f(x) = 2x - 5 \)?
2. How would the value of \( f(x) \) change if the function were \( f(x) = 3x - 7 \)?
3. Can you find the x-value when \( f(x) = 0 \) for \( f(x) = 2x - 5 \)?
4. What is the inverse of the function \( f(x) = 2x - 5 \)?
5. How do you determine whether a function like \( f(x) = 2x - 5 \) is increasing or decreasing?

**Tip:** When working with linear functions like \( f(x) = 2x - 5 \), the coefficient of \( x \) determines the slope (steepness) of the line.

Find the value of f(2) + f(5) for the linear function f(x) = 2x - 5. This problem involves basic algebra and function evaluation, suitable for students in Grades 6-8. Detailed step-by-step calculations are provided.

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