What is the domain of (7x-21)/(x^2-81) ?

The domain of (7x-21)/(x^2-81) is x 9

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domain of (7x-21)/(x^2-81)

domain

\frac{7 x - 21}{x ^{2} - 81}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 9, x = - 9

The function domain

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

f (x) = y^{2} + 8 x + 6 y + 25 = 0

f (x) = \frac{x ^{2} + 4 x}{3 x ^{2} - 12}

y - y^{2} + arcsin (y)

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

y = x^{2} + 2 x + 4

What is the domain of (7x-21)/(x^2-81) ?
The domain of (7x-21)/(x^2-81) is x<-9\lor-9<x<9\lor x>9