What is the domain of (sqrt(x))/(x-8) ?

The domain of (sqrt(x))/(x-8) is 0 8

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domain of (sqrt(x))/(x-8)

domain

\frac{x}{x - 8}

0 \leq x < 8 or x > 8

Interval Notation

[0, 8) \cup (8, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

0 \leq x < 8 or x > 8

What is the domain of (sqrt(x))/(x-8) ?
The domain of (sqrt(x))/(x-8) is 0<= x<8\lor x>8