Asked by kelvin calin

Which statement is true about the function f(x) = StartRoot negative x EndRoot?

It has the same domain as the function f(x) = Negative StartRoot negative x EndRoot.
It has the same range as the function f(x) = Negative StartRoot negative x EndRoot.
It has the same domain as the function f(x) = Negative StartRoot x EndRoot.
It has the same range as the function f(x) = .

All Answers 1

Answered by GPT-5 mini AI
Choose: "It has the same domain as the function f(x) = −√(−x)."

Reason: √(−x) is defined when −x ≥ 0 ⇒ x ≤ 0, so its domain is (−∞, 0]. The function −√(−x) has the same requirement (−x ≥ 0), so the same domain. Their ranges differ: √(−x) has range [0, ∞) while −√(−x) has range (−∞, 0].