What is the domain of y=(2x^2-x-3)/(x^2-4) ?

The domain of y=(2x^2-x-3)/(x^2-4) is x 2

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domain of y=(2x^2-x-3)/(x^2-4)

domain

y = \frac{2 x ^{2} - x - 3}{x ^{2} - 4}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2

The function domain

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

\frac{\frac{2}{x}}{\frac{2}{x} + 2}

f (x) = (x + 4)

f (x) = 2 x - 1

(1, 4), (5, 4)

(- 5.1) (- 3.7)

What is the domain of y=(2x^2-x-3)/(x^2-4) ?
The domain of y=(2x^2-x-3)/(x^2-4) is x<-2\lor-2<x<2\lor x>2