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

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

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

domain

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

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

\frac{x ^{2} + x - 6}{x ^{2} + 5 x + 6}

f (x) = x^{2} - 2, x \geq 0

- 4 cos (2 x)

f (x) = - 700 x + 3500

f (x) = \frac{1}{x ^{2} - 9}

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