What is the domain of (x/(x-4))/(7/(x+9)) ?

The domain of (x/(x-4))/(7/(x+9)) is x 4

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domain of (x/(x-4))/(7/(x+9))

domain

\frac{\frac{x}{x - 4}}{\frac{7}{x + 9}}

x < - 9 or - 9 < x < 4 or x > 4

Interval Notation

(- \infty, - 9) \cup (- 9, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 9

The function domain

x < - 9 or - 9 < x < 4 or x > 4

\frac{1}{x ^{2} - 5 x}

- 3 y - 1

f (x) = x^{3} - 11 x^{2}

f (x) = \frac{2 x - 1}{x ^{2} - 4}

x^{3} - 11

What is the domain of (x/(x-4))/(7/(x+9)) ?
The domain of (x/(x-4))/(7/(x+9)) is x<-9\lor-9<x<4\lor x>4