What is the domain of y= 6/(x(x+9)) ?

The domain of y= 6/(x(x+9)) is x 0

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domain of y= 6/(x(x+9))

domain

y = \frac{6}{x ( x + 9 )}

x < - 9 or - 9 < x < 0 or x > 0

Interval Notation

(- \infty, - 9) \cup (- 9, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 9

The function domain

x < - 9 or - 9 < x < 0 or x > 0

f (x) = \frac{2 x}{( x + 4 ) ( x - 9 )}

∣ 2 x - 5 ∣

f (x) = \frac{x - 5}{x ^{2} - 9}

\frac{1}{x ^{2} - x - 90}

lo g_{5} (3 x^{2} - 5 x + 2)

What is the domain of y= 6/(x(x+9)) ?
The domain of y= 6/(x(x+9)) is x<-9\lor-9<x<0\lor x>0