What is the domain of f(x)= 1/(x-6) ?

The domain of f(x)= 1/(x-6) is x 6

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domain of f(x)= 1/(x-6)

domain

f (x) = \frac{1}{x - 6}

x < 6 or x > 6

Interval Notation

(- \infty, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6

The function domain

x < 6 or x > 6

5 x - y = 12

f (x) = - \frac{4}{3} x - 8

f (x) = \frac{- 6 x}{x ^{2} + 3}

x = 4 y

(- 4, 8), (4, - 2)

What is the domain of f(x)= 1/(x-6) ?
The domain of f(x)= 1/(x-6) is x<6\lor x>6