What is the domain of f(x)=(x+5)/(x^2-9) ?

The domain of f(x)=(x+5)/(x^2-9) is x 3

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domain of f(x)=(x+5)/(x^2-9)

domain

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

y = x^{2}

f (x) = - 2 x^{6} + 15 x^{5}

\frac{x - 3}{4 + 5 x}

m = - 2, (2, - 4)

What is the domain of f(x)=(x+5)/(x^2-9) ?
The domain of f(x)=(x+5)/(x^2-9) is x<-3\lor-3<x<3\lor x>3