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

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

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

domain

y = \frac{x}{x - 5}

0 \leq x < 5 or x > 5

Interval Notation

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) = \frac{x - 2}{x ^{2} + 3 x + 2}

y = - 8

y = - 9

f (x) = arctan (\frac{x + 1}{x - 1})

f (x) = \frac{8 x + 9}{7 x - 8}

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