What is the domain of f(x)=(sqrt(x+5))/(x-8) ?

The domain of f(x)=(sqrt(x+5))/(x-8) is -5 8

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domain of f(x)=(sqrt(x+5))/(x-8)

domain

f (x) = \frac{x + 5}{x - 8}

- 5 \leq x < 8 or x > 8

Interval Notation

[- 5, 8) \cup (8, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

- 5 \leq x < 8 or x > 8

f (x) = 5 + \frac{1}{4} x - \frac{1}{2} x^{2}

\frac{1}{x - 6}

y = x^{2} - 3

f (x) = e^{x} + 4

f (x) = e^{x} - e^{(- x)}

What is the domain of f(x)=(sqrt(x+5))/(x-8) ?
The domain of f(x)=(sqrt(x+5))/(x-8) is -5<= x<8\lor x>8