What is the domain of f(x)=(5x)/(x^2-4) ?

The domain of f(x)=(5x)/(x^2-4) is x 2

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domain of f(x)=(5x)/(x^2-4)

domain

f (x) = \frac{5 x}{x ^{2} - 4}

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

\frac{x + 1}{x + 8}

x^{3} - y^{2} = 64

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

f (x) = 0. 9^{- 188.5 + x} + 105

y = 2 x - 3

What is the domain of f(x)=(5x)/(x^2-4) ?
The domain of f(x)=(5x)/(x^2-4) is x<-2\lor-2<x<2\lor x>2