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

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

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

domain

f (x) = \frac{2 x + 3}{x ^{3} - 4 x}

x < - 2 or - 2 < x < 0 or 0 < x < 2 or x > 2

Solution steps

Find undefined (singularity) points:

x = 0, x = - 2, x = 2

The function domain

x < - 2 or - 2 < x < 0 or 0 < x < 2 or x > 2

f (x) = \frac{1}{x ^{2} + 2 x - 3}

- 3 x + 1

g (x) = 5 - 2 x

f (x) = ln (x^{2} - 16)

\frac{3}{x - 9}

What is the domain of f(x)=(2x+3)/(x^3-4x) ?
The domain of f(x)=(2x+3)/(x^3-4x) is x<-2\lor-2<x<0\lor 0<x<2\lor x>2