What is the domain of f(x)=(sqrt(x-4))/(x-11) ?

The domain of f(x)=(sqrt(x-4))/(x-11) is 4 11

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domain of f(x)=(sqrt(x-4))/(x-11)

domain

f (x) = \frac{x - 4}{x - 11}

4 \leq x < 11 or x > 11

Interval Notation

[4, 11) \cup (11, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 11

Combine real regions and undefined points for final function domain

4 \leq x < 11 or x > 11

f (x) = \frac{x ^{3}}{1 - 2 x ^{3}}

f (x) = \frac{3 - x}{5}

2 x^{3} + 3

f (x) = \frac{2 x + 1}{x ^{2} - 9}

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

What is the domain of f(x)=(sqrt(x-4))/(x-11) ?
The domain of f(x)=(sqrt(x-4))/(x-11) is 4<= x<11\lor x>11