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

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

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

domain

f (x) = x + \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

2 x^{3} - 6 x

f (x) = \frac{5 x + 7}{4 x - 5}

x^{2} + 4

\frac{x}{( x + 1 ) ^{n}}

f (x) = 3 x^{3} + 5 x^{2}

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