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

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

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

domain

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

- 4 \leq x < 4 or x > 4

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

- 4 \leq x < 4 or x > 4

y = x^{3} - 2 x^{2} + 5 x + 7

f (x) = 18 x - 4500

\frac{3 ( x ^{2} - 2 ) ^{\frac{1}{2}}}{1 - x}

\frac{1}{2 x + 7}, - 3 \leq x \leq 6

f (x) = x^{2} + y^{2} = 9

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