Evaluate f(x) = 3x − 2x when x = -3. 2
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To evaluate the function \( f(x) = 3x - 2x \) at \( x = -3 \):

1. Start by substituting \( x = -3 \) into the equation:
   \[
   f(-3) = 3(-3) - 2(-3)
   \]

2. Now simplify each term:
   \[
   3(-3) = -9 \quad \text{and} \quad 2(-3) = -6
   \]

3. Subtract the terms:
   \[
   -9 - (-6) = -9 + 6 = -3
   \]

Thus, the value of \( f(x) \) when \( x = -3 \) is \( -3 \).

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Here are some related questions:
1. What happens if you switch the signs in the function?
2. Can you evaluate \( f(x) = 4x - 5x \) at \( x = 2 \)?
3. What is the result of \( f(x) = 3x + 2x \) when \( x = 5 \)?
4. How does adding a constant affect the function?
5. What if \( f(x) = 3x^2 - 2x \), how does it change?

**Tip**: Always simplify the equation as much as possible before substituting values!

Learn how to evaluate the linear function f(x) = 3x − 2x when x = -3 with a step-by-step solution. This problem covers key algebraic concepts such as function evaluation and simplification, suitable for students in Grades 6-8.

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