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

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

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

domain

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

- 1 \leq x < 2 or x > 2

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq - 1

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

- 1 \leq x < 2 or x > 2

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

3 + x

\frac{5 x ^{3} - 8}{1 + x + x ^{2}}

12 - 2 x

f (x) = x - 2 x - 3

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