What is the domain of f(x)= 4/(x-1) ?

The domain of f(x)= 4/(x-1) is x 1

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domain of f(x)= 4/(x-1)

domain

f (x) = \frac{4}{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

y = - \frac{2}{3} + 5

6 x + 7 y = 5

f (x) = \frac{7}{3} x - 1

y = tan (2 x + π)

\frac{x + 7}{x ^{2} - 49}

What is the domain of f(x)= 4/(x-1) ?
The domain of f(x)= 4/(x-1) is x<1\lor x>1