For what values of x is the expression below defined?
Sqrt x+5 divided by sqrt 1-x
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Answer:
D. - 5 ≤ x < 1
Step-by-step 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.