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

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

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

domain

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

x < 2 or x > 2

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

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

\frac{x ^{2} - 2 x - 3}{x}

f (x) = \frac{1}{4} x + 7

f (x) = 0.6 x^{2} - 1.5 x + 1

f (x) = \frac{( x + 1 )}{( x + 7 )}

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