What is the domain of f(x)=(sqrt(x-4))/(x-10) ?

The domain of f(x)=(sqrt(x-4))/(x-10) is 4 10

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domain of f(x)=(sqrt(x-4))/(x-10)

domain

f (x) = \frac{x - 4}{x - 10}

4 \leq x < 10 or x > 10

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 10

Combine real regions and undefined points for final function domain

4 \leq x < 10 or x > 10

f (x) = \frac{ln ( x )}{x ^{6}}

y - 18 = 6 x

f (x) = \frac{1}{2} sin (2 (x + \frac{π}{6})) - 1

f (x) = \frac{x ^{2} - x}{x ^{2} - 8 x + 7}

What is the domain of f(x)=(sqrt(x-4))/(x-10) ?
The domain of f(x)=(sqrt(x-4))/(x-10) is 4<= x<10\lor x>10