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

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

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

domain

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

\frac{5 x + 25}{2 x + 7}

f (x) = - cos (x) - 1

f (x) = \frac{7}{x} \cdot \frac{9}{x + 9}

x^{3} + 37 x + 250, 1 \leq x \leq 10

- 4 x^{2} + 6 x - 1

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