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

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

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

domain

\frac{3 x + 5}{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}

\frac{x ^{2} - 3}{x ^{3}}

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

\frac{x ^{2} - 16}{4 x ^{2}}

x^{3} + x^{2} - 4 x - 4

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

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