What is the domain of f(x)=(3x-4)/(1-2x) ?

The domain of f(x)=(3x-4)/(1-2x) is x 1/2

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domain of f(x)=(3x-4)/(1-2x)

domain

f (x) = \frac{3 x - 4}{1 - 2 x}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = \frac{1}{2}

The function domain

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

\frac{2}{x + 2} - 1

\frac{800 x}{101 - x}

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

y = sin (\frac{1}{x})

f (x) = \frac{- 6 x ^{2} - 6 x + 12}{x ^{2} - 36}

What is the domain of f(x)=(3x-4)/(1-2x) ?
The domain of f(x)=(3x-4)/(1-2x) is x< 1/2 \lor x> 1/2