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

f (x) = lo g_{4} (x^{2} - 9)

f (1, 0) = y = 2 x^{2} + 8 x - 10

(- 2, - 4), (4, - 4)

(x + 1)^{2} - 4

f (x) = π - arccos (2 x + 1)

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