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

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

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

domain

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

x < 1 or x > 1

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 1

The function domain

x < 1 or x > 1

f (x) = x x^{2} + 1

f (x) = sin (5 x)

f (x) = 1 + lo g_{2} (x)

2 x^{2} + 4 x + 3

f (x) = (x - 3)^{2} + 7

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