What is the domain of (sqrt(2+x))/(x-1) ?

The domain of (sqrt(2+x))/(x-1) is -2 1

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domain of (sqrt(2+x))/(x-1)

domain

\frac{2 + x}{x - 1}

- 2 \leq x < 1 or x > 1

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

- 2 \leq x < 1 or x > 1

\frac{x}{x ^{2} + 14 x + 45}

f (x) = 3 x^{2} - 2 x + 1

17 x^{4} - 102 x^{2}

- x + 3

9^{\frac{1}{2}} + 4^{\frac{1}{2}}

What is the domain of (sqrt(2+x))/(x-1) ?
The domain of (sqrt(2+x))/(x-1) is -2<= x<1\lor x>1