Question

Find domain for sqroot of x / pi - x

Answer 1

Answer: x∈[0,π)

Explanation:

Domain:

`1)\ \\\pi -x\\eq 0\\\\\pi -x+x\\eq 0+x\\\\\pi \\eq x\\\\Thus,\\\\2)\\\displaystyle\\(x)/(\pi -x) \geq 0\\\\`

Numerator equals 0 at x=0

Denominator equals 0 with x=π

Hence,

-∞__-__0__+__π__-__+∞

x∈[0,π)