What is the domain of f(x)=(sqrt(x+5))/(x-1) ?

The domain of f(x)=(sqrt(x+5))/(x-1) is -5 1

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domain of f(x)=(sqrt(x+5))/(x-1)

domain

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

- 5 \leq x < 1 or x > 1

Interval Notation

[- 5, 1) \cup (1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

- 5 \leq x < 1 or x > 1

x^{3} + 4

x y = 5

x^{2} ln (\frac{x}{8})

f (x) = x^{2} - 6 x + 10

f (x) = \frac{x}{4 - x ^{2}}

What is the domain of f(x)=(sqrt(x+5))/(x-1) ?
The domain of f(x)=(sqrt(x+5))/(x-1) is -5<= x<1\lor x>1