Question

Which function has the same domain as y = 2 StartRoot x EndRoot?
y = StartRoot 2 x EndRoot
y = 2 RootIndex 3 StartRoot x EndRoot
y = StartRoot x minus 2 EndRoot
y = RootIndex 3 StartRoot x minus 2 EndRoot

Answer 1

y = √(2x).

Reason: y = 2√x requires x ≥ 0. For y = √(2x), 2x ≥ 0 ⇒ x ≥ 0, so the domains match. The cube-root options have all-real domains, and √(x − 2) requires x ≥ 2, so they don't match.