What is the domain of f(x)=(sqrt(x+6))/(x-8) ?

The domain of f(x)=(sqrt(x+6))/(x-8) is -6 8

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domain of f(x)=(sqrt(x+6))/(x-8)

domain

f (x) = \frac{x + 6}{x - 8}

- 6 \leq x < 8 or x > 8

Solution steps

Find non-negative values for radicals:

x \geq - 6

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

- 6 \leq x < 8 or x > 8

g (x) = 3 x^{2} - 81

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

8 x^{2}

f (x) = 3 + (x - 2)^{2}

f (x) = 4 x^{2} + 12 x + 5

What is the domain of f(x)=(sqrt(x+6))/(x-8) ?
The domain of f(x)=(sqrt(x+6))/(x-8) is -6<= x<8\lor x>8