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

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

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

domain

f (x) = \frac{x + 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) = \frac{1}{x + 2} - 3

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

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

\frac{x - 5}{x ^{2} - 25}

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

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