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

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

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

domain

f (x) = \frac{( 5 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) = 4 x + 44

lo g_{8} (x - 8)

ln (- x^{2} + 5 x - 4)

24 - (10 x - x^{2})

ln (\frac{4 x - 8}{2 x + 4})

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