What is the domain of (sqrt(-x+10))/(x^3) ?

The domain of (sqrt(-x+10))/(x^3) is x<0\lor 0<x<= 10

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domain of (sqrt(-x+10))/(x^3)

domain

\frac{- x + 10}{x ^{3}}

x < 0 or 0 < x \leq 10

Interval Notation

(- \infty, 0) \cup (0, 10]

Solution steps

Find non-negative values for radicals:

x \leq 10

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or 0 < x \leq 10

f (x) = \frac{7 - x}{x ^{2} - x - 2}

f (x) = (1 - x^{2})^{x}

f (x) = 2 x - 3 + 5

\frac{x + 10}{x - 5}

6 x^{2} + 500 x + 8000

What is the domain of (sqrt(-x+10))/(x^3) ?
The domain of (sqrt(-x+10))/(x^3) is x<0\lor 0<x<= 10