What is the domain of f(x)=(sqrt(x+5))/(x-6) ?

The domain of f(x)=(sqrt(x+5))/(x-6) is -5 6

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domain of f(x)=(sqrt(x+5))/(x-6)

domain

f (x) = \frac{x + 5}{x - 6}

- 5 \leq x < 6 or x > 6

Interval Notation

[- 5, 6) \cup (6, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

- 5 \leq x < 6 or x > 6

f (x) = - 3 x + 15

f (x) = x - \frac{2}{x}

y = - \frac{4}{5} x + \frac{1}{5}

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

y = - 3 + x

What is the domain of f(x)=(sqrt(x+5))/(x-6) ?
The domain of f(x)=(sqrt(x+5))/(x-6) is -5<= x<6\lor x>6