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

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

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

domain

f (x) = \frac{3}{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 ln (2 x)

f (x) = lo g_{10} (x - 3)

f (x) = lo g_{3} (x^{2} - 9)

y = arctan (x)

f (x) = x - x^{3}

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