16Hit1600
Advanced MathEasy–MediumLeast value in the domain of a square-root function

Advanced Math practice question

The function h is defined by h(x) = √(x − 2). What is the least value of x in the domain of h?

Answer: 2

The expression under the square root must be at least 0: x − 2 ≥ 0, so x ≥ 2. The least value is 2.

Common wrong answers

If you answered 0
0 makes x − 2 = −2, which has no real square root.
If you answered 3
3 is in the domain, but 2 is smaller and also in it.
If you answered -2
−2 has the wrong sign: x − 2 ≥ 0 gives x ≥ 2.

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