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

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

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

domain

\frac{3 x - 2}{5 - 2 x}

x < \frac{5}{2} or x > \frac{5}{2}

Interval Notation

(- \infty, \frac{5}{2}) \cup (\frac{5}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{5}{2}

The function domain

x < \frac{5}{2} or x > \frac{5}{2}

f (x) = x - 5 + 3

f (x) = \frac{7}{4 x + 2}

f (x) = x - 11

f (x) = \frac{sin ( x )}{7 - e ^{2 x - 3}}

f (x) = \frac{2 x - 9}{x - 4}

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