What is the domain of f(x)= 6/(x-2) ?

The domain of f(x)= 6/(x-2) is x 2

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domain of f(x)= 6/(x-2)

domain

f (x) = \frac{6}{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

y - 4 = 3 (x - 3)

2 x + 3 y + 1 = 0

y = 4

y = \frac{x ^{2}}{3} - 4 x - 2

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

What is the domain of f(x)= 6/(x-2) ?
The domain of f(x)= 6/(x-2) is x<2\lor x>2