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

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

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

domain

f (x) = \frac{( x + 2 )}{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

g (x) = - (x + 1)^{3} + 3

f (x) = 2 x^{2} + 3 x + 5

4 csc (\frac{5 π}{3} x - \frac{20 π}{3})

f (x) = x^{2} + 3 \cdot x + 2

f (x) = x^{2} - 10

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