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

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

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

domain

f (x) = \frac{x + 5}{x - 4}

- 5 \leq x < 4 or x > 4

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

- 5 \leq x < 4 or x > 4

f (x) = - 4 x + 16

f (x) = \frac{1}{3 x + 5}

f (x) = 5 (x - 9)^{2} - 32

f (x) = \frac{3 x - 1}{5 - x}

g (x) = \frac{1}{x ^{2} + 1}

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