What is the domain of (sqrt(x+4))/(x-5) ?

The domain of (sqrt(x+4))/(x-5) is -4 5

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domain of (sqrt(x+4))/(x-5)

domain

\frac{x + 4}{x - 5}

- 4 \leq x < 5 or x > 5

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 4

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

- 4 \leq x < 5 or x > 5

f (x) = 5 (1 - x) e^{- x}

h (x) = - 2 x

f (x) = \frac{7}{\frac{7}{x}}

\frac{x}{x + 3}

f (x) = \frac{2}{x + 1} \cdot 1 - x

What is the domain of (sqrt(x+4))/(x-5) ?
The domain of (sqrt(x+4))/(x-5) is -4<= x<5\lor x>5