What is the domain of f(x)= 1/(3x-6) ?

The domain of f(x)= 1/(3x-6) is x 2

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domain of f(x)= 1/(3x-6)

domain

f (x) = \frac{1}{3 x - 6}

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) = 13 x - 2

f (x) = \frac{6 x - 8}{7 - x}

f (x) = \frac{x}{x ^{2} + 7}

(7, 4), (- 1, - 4)

What is the domain of f(x)= 1/(3x-6) ?
The domain of f(x)= 1/(3x-6) is x<2\lor x>2