What is the domain of f(x)=(x^3)/(-x^2+4) ?

The domain of f(x)=(x^3)/(-x^2+4) is x 2

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domain of f(x)=(x^3)/(-x^2+4)

domain

f (x) = \frac{x ^{3}}{- 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

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

f (x) = \frac{x + 1}{x ^{2} - 6 x + 5}

x^{2} - 7 x + 12

\frac{6 x - 7}{5 x + 4}

What is the domain of f(x)=(x^3)/(-x^2+4) ?
The domain of f(x)=(x^3)/(-x^2+4) is x<-2\lor-2<x<2\lor x>2