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Answer:
- (c) x ≥ 0
- (d) reals ≥ 2
Explanation:
The square root is only defined for arguments that are greater than or equal to zero.
√x . . . . defined for x ≥ 0
It will only have non-negative values.
√x . . . . has values ≥ 0
Using these facts, we can answer the questions.
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1. The domain is the set of values x may have. The square root function limits the domain to x ≥ 0.
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2. The range is the set of values y may have. The square root function is never negative, so the range must be 2 or greater.
y ≥ 2