What is the domain of (x^2-3)/(x^2-x-2)+1 ?

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

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2, x = - 1

The function domain

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

f (x) = sin (x) + tan (x) + cot (x)

f (x) = 7 x^{2} - 12 x + 21

8 x - 18

3 ln (x + 5) - 2

f (x) = 32 ln (x) - x^{2}

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