What is the domain of (sqrt(x+8))/(x-2) ?

The domain of (sqrt(x+8))/(x-2) is -8 2

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domain of (sqrt(x+8))/(x-2)

domain

\frac{x + 8}{x - 2}

- 8 \leq x < 2 or x > 2

Interval Notation

[- 8, 2) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 8

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

- 8 \leq x < 2 or x > 2

- 3^{2 x - 3} + 1

- \frac{2}{3} x - 1

f (x) = \frac{x}{4 x - 3}

f (x) = 3 x^{2} e^{x}

- \frac{2}{3} x + 4

What is the domain of (sqrt(x+8))/(x-2) ?
The domain of (sqrt(x+8))/(x-2) is -8<= x<2\lor x>2