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

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

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

domain

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

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) = x^{2} - 4, - 1 < x \leq 3

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

f (x) = \frac{5 x - 4}{9 x + 8}

f (x) = 55 x - \frac{4 x ^{2}}{3}

3 \cdot x - 4

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