What is the domain of (10x+24)/(x(x+6)) ?

The domain of (10x+24)/(x(x+6)) is x 0

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domain of (10x+24)/(x(x+6))

domain

\frac{10 x + 24}{x ( x + 6 )}

x < - 6 or - 6 < x < 0 or x > 0

Interval Notation

(- \infty, - 6) \cup (- 6, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 6

The function domain

x < - 6 or - 6 < x < 0 or x > 0

f (x) = 49 - 36

f (x) = \frac{2}{3 z + 2}

f (x) = π x^{2} 3 - x^{2}

\frac{2 t - 3}{e ^{3 t}}

f (x) = 2 x^{4} - 4 x^{2} - 16

What is the domain of (10x+24)/(x(x+6)) ?
The domain of (10x+24)/(x(x+6)) is x<-6\lor-6<x<0\lor x>0