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

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

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

domain

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

x < \frac{3}{2} or x > \frac{3}{2}

Interval Notation

(- \infty, \frac{3}{2}) \cup (\frac{3}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{3}{2}

The function domain

x < \frac{3}{2} or x > \frac{3}{2}

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