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

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

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

domain

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

x < 2 or x > 2

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

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

\frac{2}{1 - cos ( x )}

f (x) = \frac{- x + 10}{x ^{3}}

f (x) = \frac{x ^{2}}{ln ( x )}

(\frac{1}{x - 7}) + (\frac{1}{x} - 9)

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