What is the domain of f(x)= 4/(x-3) ?

The domain of f(x)= 4/(x-3) is x 3

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domain of f(x)= 4/(x-3)

domain

f (x) = \frac{4}{x - 3}

x < 3 or x > 3

Interval Notation

(- \infty, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3

The function domain

x < 3 or x > 3

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

f (x) = \frac{( x ^{2} + 4 )}{x ^{2} + 4 x - 5}

x + 6

(2, 2), (1, 1)

f (x) = 6 csc (\frac{1}{2} π x - \frac{1}{6} π)

What is the domain of f(x)= 4/(x-3) ?
The domain of f(x)= 4/(x-3) is x<3\lor x>3