What is the domain of f(x)=(x+4)/(x^2-9) ?

The domain of f(x)=(x+4)/(x^2-9) is x 3

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domain of f(x)=(x+4)/(x^2-9)

domain

f (x) = \frac{x + 4}{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{3}{x ^{2} - 16}

x^{2} + 6 x - 1

f (x) = \frac{x + 6}{x ( x + 11 )}

g (t) = \frac{16}{1 + 3 ^{- t}}

\frac{3 x + 4}{6 x + 1}

What is the domain of f(x)=(x+4)/(x^2-9) ?
The domain of f(x)=(x+4)/(x^2-9) is x<-3\lor-3<x<3\lor x>3