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

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

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

domain

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

x < 1 or 1 < x < 2 or x > 2

Interval Notation

(- \infty, 1) \cup (1, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = 2

The function domain

x < 1 or 1 < x < 2 or x > 2

\frac{3 x - 5}{x + 6}

\frac{4 - x}{x ^{2} - 9}

x^{4} - 5 x^{3} 9 x^{2}

f (x) = x - 12 x + 35

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

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