For what values of x is the expression below defined? √x+3 ➗√1-x A. 3≤x≤1 B. 3>x>1 C. -3 D. 3> x≤-1

Harry Geo asked Mar 5, 2023

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For what values of x is the expression below defined?

√x+3 ➗√1-x
A. 3≤x≤1
B. 3>x>1
C. -3 D. 3> x≤-1

Harry Geo asked Mar 5, 2023

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17 votes

Answer:
$-3 \leq x < 1$

Explanation:

$√(x+3) \geq 0 \longrightarrow x \geq -3\\\\√(1-x) > 0 \longrightarrow 1-x > 0 \longrightarrow x < 1\\\\\therefore -3 \leq x < 1$

Eddysanoli answered Mar 8, 2023

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