16Hit1600
Advanced MathVery hardConstant of a square-root function from its domain

Advanced Math practice question

The function h is defined by h(x) = √(x − a), where a is a constant, and its domain is all x ≥ 3. What is the value of h(12)?

Answer: 3

The domain x ≥ 3 means x − a ≥ 0 exactly when x ≥ 3, so a = 3. Then h(12) = √(12 − 3) = √9 = 3.

Common wrong answers

If you answered 2
2 is h(7).
If you answered 9
9 is 12 − 3, before taking the square root.
If you answered 3.46
3.46 is √12, ignoring a.

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