What is the domain of (5x-1)/(2x-3) ?

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

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domain of (5x-1)/(2x-3)

domain

\frac{5 x - 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}

f (x) = ln (6 x - 3)

f (x) = - (x - 3)^{2} + 4

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

8 x + 1

f (x) = 3 5 x - 2

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