Question

If f(x) =
`√(1/2x-10)` + 3, which inequality can be used to find the domain of f(x)?

A.
`√(1/2x)`≥0
B.
`(1)/(2) x`≥0
C.
`(1)/(2x)`-10≥0
D.
`√(1/2x-10) +3`≥0

Answer 1

`\text{C.} \quad(1)/(2x)-10\ge 0`

Explanation:

The contents of the radical must be non-negative. We cannot tell if the first term there is (1/2)x or 1/(2x). If the former, there is no correct answer choice. If the latter, the correct answer choice is ...

`(1)/(2x)-10\ge 0`