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

The domain of f(x)=(2x+3)/(x[x+4]-x) is x 0

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

domain

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

x < - 3 or - 3 < x < 0 or x > 0

Interval Notation

(- \infty, - 3) \cup (- 3, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 3

The function domain

x < - 3 or - 3 < x < 0 or x > 0

lo g_{6} (\frac{x - 8}{x})

x^{2} (x + 1)^{3} (x - 3)

\frac{1}{4 x - 1} - 1 - x^{2}

\frac{x - 2}{x ^{2}}

y = - 2^{x} - 1

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