What is the domain of f(x)=(10)/(2/x-1) ?

The domain of f(x)=(10)/(2/x-1) is x 2

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domain of f(x)=(10)/(2/x-1)

domain

f (x) = \frac{10}{\frac{2}{x} - 1}

x < 0 or 0 < x < 2 or x > 2

Interval Notation

(- \infty, 0) \cup (0, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = 0

The function domain

x < 0 or 0 < x < 2 or x > 2

f (x) = 2 x - 9

x 36 - x^{2}

9 t - 4 t^{2}

f (x) = \frac{8 e ^{x}}{1 + e ^{- x}}

f (x) = 7 x^{2}

What is the domain of f(x)=(10)/(2/x-1) ?
The domain of f(x)=(10)/(2/x-1) is x<0\lor 0<x<2\lor x>2