What is the domain of (2x-4)/(x^2+x-2) ?

The domain of (2x-4)/(x^2+x-2) is x 1

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domain of (2x-4)/(x^2+x-2)

domain

\frac{2 x - 4}{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

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

x^{2} - 2 x + 1

f (x) = x^{3} + 4 x^{2}

f (x) = \frac{x - 3}{x}

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

What is the domain of (2x-4)/(x^2+x-2) ?
The domain of (2x-4)/(x^2+x-2) is x<-2\lor-2<x<1\lor x>1