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

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

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

domain

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

- 9 \leq x < 4 or x > 4

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 9

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

- 9 \leq x < 4 or x > 4

f (x) = 4 x^{3}

f (x) = e^{- x} - 1

f (x) = 2 - 7 x^{2}

f (x) = 3 x^{5} - 5 x^{3}

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

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