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

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

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

domain

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

x < \frac{1}{2} or \frac{1}{2} < x < 1 or x > 1

Interval Notation

(- \infty, \frac{1}{2}) \cup (\frac{1}{2}, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = \frac{1}{2}

The function domain

x < \frac{1}{2} or \frac{1}{2} < x < 1 or x > 1

in v erse f (x) = 5 arcsin (x^{3})

l in e (213, 0), (250, 1.1 \cdot 1 0^{5})

d o main f (x) = 3 x^{2} + 2 x - 4

in t erce pt s x^{2} + 4 x - 5

l in e (- 2, - 5), (6, - 5)

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