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

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

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

domain

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

- 6 \leq x < 6 or x > 6

Interval Notation

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{x ^{2} - 16}{x ^{2} + 49}

g (x) = x - 2

f (x) = lo g_{5} (4 - x) - 2

f (x) = ln (5 x + 3)

f (x) = - e^{x}

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