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

The domain of (sqrt(x-3))/(x-10) is 3 10

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

domain

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

3 \leq x < 10 or x > 10

Interval Notation

[3, 10) \cup (10, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 10

Combine real regions and undefined points for final function domain

3 \leq x < 10 or x > 10

3 x^{4} - 20 x^{3} + 24 x^{2}

f (x) = \frac{- 3 x - 9}{x ^{2} - x - 12}

y = (5)^{x}

16 - x

f (x) = \frac{1}{x ^{2} - 4}

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