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

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

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domain of f(x)=(x^2-3x)/(x^2+x-2)

domain

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

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