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If f(x) = x^2 - 6x + 9, what is f(3)?

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Question: If f(x) = x^2 - 6x + 9, what is f(3)?

Options:

  1. 0
  2. 3
  3. 6
  4. 9

Correct Answer: 0

Solution: 

Substituting x = 3 into the function: f(3) = 3^2 - 6(3) + 9 = 9 - 18 + 9 = 0.

If f(x) = x^2 - 6x + 9, what is f(3)?

Practice Questions

Q1
If f(x) = x^2 - 6x + 9, what is f(3)?
  1. 0
  2. 3
  3. 6
  4. 9

Questions & Step-by-Step Solutions

If f(x) = x^2 - 6x + 9, what is f(3)?
  • Step 1: Identify the function f(x) = x^2 - 6x + 9.
  • Step 2: Substitute x with 3 in the function: f(3) = 3^2 - 6(3) + 9.
  • Step 3: Calculate 3^2, which is 9.
  • Step 4: Calculate -6(3), which is -18.
  • Step 5: Now, combine the results: 9 - 18 + 9.
  • Step 6: First, do 9 - 18, which equals -9.
  • Step 7: Then, add -9 + 9, which equals 0.
  • Step 8: Therefore, f(3) = 0.
  • Function Evaluation – The process of substituting a specific value into a function to find the output.
  • Quadratic Functions – Understanding the structure of a quadratic function and how to manipulate it.
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