What is the domain of (5x)/(7-3x) ?

The domain of (5x)/(7-3x) is x 7/3

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domain of (5x)/(7-3x)

domain

\frac{5 x}{7 - 3 x}

x < \frac{7}{3} or x > \frac{7}{3}

Interval Notation

(- \infty, \frac{7}{3}) \cup (\frac{7}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{7}{3}

The function domain

x < \frac{7}{3} or x > \frac{7}{3}

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

y = x + 4

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

x^{2} - 2 x + 3

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

What is the domain of (5x)/(7-3x) ?
The domain of (5x)/(7-3x) is x< 7/3 \lor x> 7/3