What is the domain of (sqrt(x+2))/(x-5) ?

The domain of (sqrt(x+2))/(x-5) is -2 5

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domain of (sqrt(x+2))/(x-5)

domain

\frac{x + 2}{x - 5}

- 2 \leq x < 5 or x > 5

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

- 2 \leq x < 5 or x > 5

What is the domain of (sqrt(x+2))/(x-5) ?
The domain of (sqrt(x+2))/(x-5) is -2<= x<5\lor x>5