What is the domain of (1-x)/(xsqrt(x+2)) ?

The domain of (1-x)/(xsqrt(x+2)) is -2 0

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domain of (1-x)/(xsqrt(x+2))

domain

\frac{1 - x}{x x + 2}

- 2 < x < 0 or x > 0

Interval Notation

(- 2, 0) \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find undefined (singularity) points:

x = 0, x = - 2

Combine real regions and undefined points for final function domain

- 2 < x < 0 or x > 0

\frac{( x + 3 )}{x ^{2} + 4 x - 5}

f (x) = \frac{ln ( x ^{2} - 9 )}{x ^{2} - 16}

f (x) = 2 x^{3} + 4 x^{2} + 2

(x - 14)^{2}, x \leq 14

f (x) = \frac{5 x}{7 x - 9}

What is the domain of (1-x)/(xsqrt(x+2)) ?
The domain of (1-x)/(xsqrt(x+2)) is -2<x<0\lor x>0