What is the domain of (7x+9)/(x^2-9)-(6x+6)/(x^2-9) ?

The domain of (7x+9)/(x^2-9)-(6x+6)/(x^2-9) is x 3

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domain of (7x+9)/(x^2-9)-(6x+6)/(x^2-9)

domain

\frac{7 x + 9}{x ^{2} - 9} - \frac{6 x + 6}{x ^{2} - 9}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 3, x = - 3

The function domain

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

f (x) = \frac{( x - 5 )}{x ^{2} + 4 x}

(6.5) (7.7)

2 sin (4 x)

cos^{6} (x)

+ sin (arccos (x))

What is the domain of (7x+9)/(x^2-9)-(6x+6)/(x^2-9) ?
The domain of (7x+9)/(x^2-9)-(6x+6)/(x^2-9) is x<-3\lor-3<x<3\lor x>3