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

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

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

domain

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

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

f (x) = \frac{x - 3}{x - 4}

f (x) = \frac{( x + 5 )}{x ^{2} - 25}

f (x) = \frac{1 + x - 1 - x}{x}

30 - x

f (x) = - 2 x^{2} + 8 x + 9

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