Advanced MathEasy–MediumTwo inputs with the same output for a shifted square
Advanced Math practice question
The function f is defined by f(x) = (x − 3)² + 1. If f(5) = f(a) and a ≠ 5, what is the value of a?
Answer: 1
f(5) = 4 + 1 = 5. The other input with (x − 3)² = 4 is x − 3 = −2, so x = 1.
Common wrong answers
- If you answered 3
- 3 gives 1, the minimum.
- If you answered -5
- −5 gives (−8)² + 1 = 65.
- If you answered -1
- −1 gives 17.
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For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
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