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

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

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

domain

f (x) = \frac{3 x + 1}{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) = (4 2 x + 9)^{- 3}

f (x) = \frac{x}{x ^{2} + 5 x}

f (x) = 2 x^{2} - 6 x - 8

f (x) = (2 x)^{3} - 3

f (x) = x^{3} + x^{2} - 5 x + 3

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