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

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

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domain of f(x)=(7x)/(81-x^2)

domain

f (x) = \frac{7 x}{81 - x ^{2}}

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) = x^{2} - 2 x - 24

f (x) = \frac{2 x}{2 x ^{3} + 5 x ^{2} - 12 x}

f (x) = x^{2} + \frac{1}{3 x ^{2} + 5} - 1

(x - 2)^{3} - 4

\frac{8}{x ^{3}} - \frac{4}{x ^{1}}

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