What is the domain of (sqrt(x))/(x-5) ?

The domain of (sqrt(x))/(x-5) is 0 5

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domain of (sqrt(x))/(x-5)

domain

\frac{x}{x - 5}

0 \leq x < 5 or x > 5

Interval Notation

[0, 5) \cup (5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

0 \leq x < 5 or x > 5

f (x) = x^{3} - 48 x

4 sin (x) - 5

3 x

(sin (2 \cdot x))^{4 \cdot x}

f (x) = - ∣ x - 5 ∣ + 8

What is the domain of (sqrt(x))/(x-5) ?
The domain of (sqrt(x))/(x-5) is 0<= x<5\lor x>5