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

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

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

domain

f (x) = \frac{3}{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) = x - 5

(- 10, - 2), (8, - 2)

f (x) = x^{3} - 9 x^{2} + 24 x + 1

x = 6

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

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