Solve for a: f(x) = (x - 3)² and f(a) = a²

Published on August 27, 2024

Question

Answer

Let’s solve this problem step by step:
  1. We’re given that
  2. We’re also told that
  3. This means that
  4. Let’s expand the left side:
  5. Now we have the equation:
  6. Subtract from both sides:
  7. Add 6a to both sides:
  8. Divide both sides by 6:
  9. Simplify:
Therefore, or 1.5.
To verify:

Indeed, when .
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