Question

What is the domain of g(x)=−x−−√3+5
?(1 point)
Responses

0≤y≤∞
0 less-than-or-equal-to y less-than-or-equal-to infinity

−∞≤y≤∞
negative infinity less-than-or-equal-to y less-than-or-equal-to infinity

−∞<x<∞
negative infinity less than x less than infinity

0<x<∞
0 less than x less than infinity

Answer 1

I’m not sure how to read the expression as written. Which of these did you mean?

1) g(x) = −√(x − 3) + 5 → domain x ≥ 3 (not among the choices shown).
2) g(x) = −√x − 3 + 5 = −√x + 2 → domain x ≥ 0 (your choices show 0 < x < ∞, which incorrectly excludes 0).
3) g(x) = −x − √3 + 5 → domain all real numbers (−∞ < x < ∞), which matches the choice “−∞<x<∞”.

Tell me which placement of the square root is correct and I’ll pick the right choice.