What is the domain of f(x)= 4/(x-11) ?

The domain of f(x)= 4/(x-11) is x 11

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domain of f(x)= 4/(x-11)

domain

f (x) = \frac{4}{x - 11}

x < 11 or x > 11

Interval Notation

(- \infty, 11) \cup (11, \infty)

Solution steps

Find undefined (singularity) points:

x = 11

The function domain

x < 11 or x > 11

\frac{- 2}{3 x - 1}

3 x^{2} + 10

y = - 2 sin (2 x)

\frac{x + 3}{x ^{2} - 1}

x + \frac{1}{x} + \frac{1}{x ^{2}}

What is the domain of f(x)= 4/(x-11) ?
The domain of f(x)= 4/(x-11) is x<11\lor x>11