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

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

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domain of f(x)= 4/(x-6)+4/(x-1)

domain

f (x) = \frac{4}{x - 6} + \frac{4}{x - 1}

x < 1 or 1 < x < 6 or x > 6

Interval Notation

(- \infty, 1) \cup (1, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = 1

The function domain

x < 1 or 1 < x < 6 or x > 6

f (x) = 8 x^{- \frac{29}{12}}, x > 0

3 t^{3}

f (x) = (x - 1) (x - 2)

y = t - 16

f (x) = arcsin (- y)

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