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

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

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

domain

f (x) = \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}

x^{4} - 12 x^{3} + 48 x^{2} - 64 x

y = 2 x

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

6 x + 10 y = - 80

f (x) = 3 x^{2}

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