What is the domain of f(x)=(x-3)/(x^2-4) ?

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

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domain of f(x)=(x-3)/(x^2-4)

domain

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

x < - 2 or - 2 < x < 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2

The function domain

x < - 2 or - 2 < x < 2 or x > 2

\frac{36}{x ^{2}}

f (x) = \frac{16 x ^{2}}{x ^{4} + 64}

f (x) = \frac{2 x - 16}{5}

(0.6) (5.1)

f (x) = \frac{3 x}{9 - x ^{2}}

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