What is the domain of f(x)= 1/(x-2)+3 ?

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

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domain of f(x)= 1/(x-2)+3

domain

f (x) = \frac{1}{x - 2} + 3

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) = \frac{1}{x - 2} + 1

f (x) = - x^{2} + 8 x - 12

f (x) = ∣ x - 7 ∣

ln (\frac{1}{9 - x ^{2}})

f (x) = \frac{20 x}{x + 8}

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