What is the domain of f(x)=(x-3)/(x^2-81) ?

The domain of f(x)=(x-3)/(x^2-81) is x 9

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domain of f(x)=(x-3)/(x^2-81)

domain

f (x) = \frac{x - 3}{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

2 ln (3 - 2 x) - 5

f (x) = (e^{2 x} - 2 e^{x})

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

y = \frac{2}{x}

y = lo g_{10} (x - 10)

What is the domain of f(x)=(x-3)/(x^2-81) ?
The domain of f(x)=(x-3)/(x^2-81) is x<-9\lor-9<x<9\lor x>9