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

f (x) = 4 (x - 3)^{5}

f (x) = 2 x^{2} - 8 x, x \geq 2

\frac{4 + x}{2 - x}

f (x) = \frac{- 3 x + 15}{x ^{2} - 5 x}

f (x) = \frac{x ^{2} - 4 x + 6}{( x - 2 ) ^{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