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

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

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domain of f(x)= x/(4-x^2)

domain

f (x) = \frac{x}{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) = 7 x - 21

f (x) = 1 - 1

\frac{6 x}{7 x - 9}

4 x^{2} + 4 x + 1

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

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