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

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

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

domain

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

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}

f (x) = 2 - 15 + 2 x - x^{2}

f (x) = arcsin (sin (x))

f (x) = 3 (3)^{x - 1}

f (x) = e^{a r c s i n (x)}

f (x) = - ∣ x + 3 ∣

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