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

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

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domain of (sqrt(x+6))/(x-6)

domain

\frac{x + 6}{x - 6}

- 6 \leq x < 6 or x > 6

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 6

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

- 6 \leq x < 6 or x > 6

f (x) = \frac{( - 3 x ^{2} + 4 )}{4 x ^{2} + 5}

f (x) = \frac{lo g _{\frac{1}{2}} ( 1 )}{x ^{2} - 5 x}

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

4 (x) + 1

y = 10 - x

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