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

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

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

domain

\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

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

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

123

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

(- \frac{1}{9}, - \frac{1}{2}), (\frac{14}{9}, \frac{4}{3})

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