What is the domain of 1/(1-\frac{1){x-2}} ?

The domain of 1/(1-\frac{1){x-2}} is x 3

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domain of 1/(1-\frac{1){x-2}}

domain

\frac{1}{1 - \frac{1}{x - 2}}

x < 2 or 2 < x < 3 or x > 3

Interval Notation

(- \infty, 2) \cup (2, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = 2

The function domain

x < 2 or 2 < x < 3 or x > 3

s hi f t f (x) = 3 sin (x - π) - 1

sy mm e t ry y = - 0.55 x^{2} + 0 x + 10

in v erse 3 x + 1 + 2

in v erse f (x) = e^{2 x} - 3

in t erce pt s y = \frac{x ^{2} - 3 x + 2}{x ^{2} + 1}

What is the domain of 1/(1-\frac{1){x-2}} ?
The domain of 1/(1-\frac{1){x-2}} is x<2\lor 2<x<3\lor x>3