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

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

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

domain

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

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

Solution steps

Find undefined (singularity) points:

x = \frac{1}{2}

The function domain

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

\frac{6 x}{x - 2}

y = - \frac{9}{2 x ^{\frac{3}{2}}}

f (x) = x

f (x) = 24 - x

(- 7.3, - 5), (- 7, 7)

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