What is the domain of (sqrt(x+4))/(x-9) ?

The domain of (sqrt(x+4))/(x-9) is -4 9

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domain of (sqrt(x+4))/(x-9)

domain

\frac{x + 4}{x - 9}

- 4 \leq x < 9 or x > 9

Interval Notation

[- 4, 9) \cup (9, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 4

Find undefined (singularity) points:

x = 9

Combine real regions and undefined points for final function domain

- 4 \leq x < 9 or x > 9

What is the domain of (sqrt(x+4))/(x-9) ?
The domain of (sqrt(x+4))/(x-9) is -4<= x<9\lor x>9