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

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

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

domain

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

x < 3 or x > 3

Interval Notation

(- \infty, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3

The function domain

x < 3 or x > 3

y = 2 x - 6

- 2 x^{3} + 30 x^{2} - 144 x + 3

(2, 2), (2, - 2)

h (x) = \frac{3}{4} x - 2

f (x) = - \frac{5}{3} x - 8

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