What is the domain of ((2-x^2))/((x^2-9)) ?

The domain of ((2-x^2))/((x^2-9)) is x 3

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domain of ((2-x^2))/((x^2-9))

domain

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

x < - 3 or - 3 < x < 3 or x > 3

Interval Notation

(- \infty, - 3) \cup (- 3, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 3

The function domain

x < - 3 or - 3 < x < 3 or x > 3

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

4 x - x^{2}

f (x) = 12 - 3 x

f (x) = \frac{2 x + 1}{3 x - 2}

f (x) = \frac{3 x}{x ^{2} - 20 x + 12}

What is the domain of ((2-x^2))/((x^2-9)) ?
The domain of ((2-x^2))/((x^2-9)) is x<-3\lor-3<x<3\lor x>3