Question

For what values of x is the expression below defined?
Sqrt x+5 divided by sqrt 1-x

Answer 1

D. - 5 ≤ x < 1

Explanation:

The numerator cannot be the square root of a neg. no.

So, x + 5 ≥ 0 or x ≥ -5

The denominator cannot be a neg. no. or 0.

So, 1 - x > 0

1 > x or x < 1

So, altogether - 5 ≤ x < 1

Therefore, D is the correct answer.