What is the domain of (x+3)/(sqrt(x^2+x-2)) ?

The domain of (x+3)/(sqrt(x^2+x-2)) is x 1

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domain of (x+3)/(sqrt(x^2+x-2))

domain

\frac{x + 3}{x ^{2} + x - 2}

x < - 2 or x > 1

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x \geq 1

Find undefined (singularity) points:

x = 1, x = - 2

Combine real regions and undefined points for final function domain

x < - 2 or x > 1

(- 5, 4), (3, - 1)

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

f (x) = \frac{( 5 x )}{x + 7}

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

y = (1 - e^{x})^{\frac{1}{e ^{x}}}

What is the domain of (x+3)/(sqrt(x^2+x-2)) ?
The domain of (x+3)/(sqrt(x^2+x-2)) is x<-2\lor x>1