What is the domain of (9x)/(2x-3) ?

The domain of (9x)/(2x-3) is x 3/2

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domain of (9x)/(2x-3)

domain

\frac{9 x}{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) = 8 x^{2} + 4 x + 16

g (x) = 7 - 3 x

lo g_{4} (x + 8)

f (x) = x - 3 [2 x - (x + 1) + 5 (1 - x)]

g (x) = lo g_{5} (x - 6) + 2

What is the domain of (9x)/(2x-3) ?
The domain of (9x)/(2x-3) is x< 3/2 \lor x> 3/2