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

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

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 1, x = - 1

The function domain

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

f (x) = x^{2} + 4 + 1

\frac{( x ^{2} - x )}{9 x}

cot (θ)

f (x) = \frac{1}{20 - 8 x - x ^{2}}

f (x) = \frac{2 x - 1}{2 x ^{2} - 5 x - 6}

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