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

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

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

domain

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

x < - 2 or - 2 < x < 1 or x > 1

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 1, x = - 2

The function domain

x < - 2 or - 2 < x < 1 or x > 1

g (x) = \frac{x - 2}{x - 5}

f (x) = (\frac{1}{2})^{3 x}

\frac{3}{x + 1} - 2

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

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

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