What is the domain of (3x-5)/(2-4x) ?

The domain of (3x-5)/(2-4x) is x 1/2

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domain of (3x-5)/(2-4x)

domain

\frac{3 x - 5}{2 - 4 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}

in v erse f (x) = 2 x^{4}, x \geq 0

in v erse f (x) = - 4 + lo g_{2} (5 - 2 x)

e x t re m e 3 x^{5} - 5 x^{3} - 7

a sy m pt o t es \frac{x + 1}{x}

l in e (1, - 7), (2, - 1)

What is the domain of (3x-5)/(2-4x) ?
The domain of (3x-5)/(2-4x) is x< 1/2 \lor x> 1/2