What is the domain of f(x)=(x^2-4x-12)/(x-2) ?

The domain of f(x)=(x^2-4x-12)/(x-2) is x 2

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domain of f(x)=(x^2-4x-12)/(x-2)

domain

f (x) = \frac{x ^{2} - 4 x - 12}{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

\frac{\frac{x}{x ^{2} + 1}}{\frac{x}{x ^{4} - 1}}

f (x) = (x^{6} + 4 x^{3} - 3)

4 x^{2} + 3 x - 2

\frac{( 2 X - 5 )}{( 2 X + 5 )}

f (x) = \frac{1}{3} x

What is the domain of f(x)=(x^2-4x-12)/(x-2) ?
The domain of f(x)=(x^2-4x-12)/(x-2) is x<2\lor x>2