What is the domain of (1/(x-4))(1/(6-x)) ?

The domain of (1/(x-4))(1/(6-x)) is x 6

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domain of (1/(x-4))(1/(6-x))

domain

(\frac{1}{x - 4}) (\frac{1}{6 - x})

x < 4 or 4 < x < 6 or x > 6

Interval Notation

(- \infty, 4) \cup (4, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = 6

The function domain

x < 4 or 4 < x < 6 or x > 6

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

f (x) = \frac{x - 2}{x}

f (x) = tan (2 x)

f (x) = x^{4} - 4 x^{3} - 2 x^{2}

f (x) = 3 x^{4} + 5 x^{2} + 1

What is the domain of (1/(x-4))(1/(6-x)) ?
The domain of (1/(x-4))(1/(6-x)) is x<4\lor 4<x<6\lor x>6