Question

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

Answer 1

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`