What is the domain of f(x)=(3x)/(7-2x) ?

The domain of f(x)=(3x)/(7-2x) is x 7/2

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domain of f(x)=(3x)/(7-2x)

domain

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

x < \frac{7}{2} or x > \frac{7}{2}

Interval Notation

(- \infty, \frac{7}{2}) \cup (\frac{7}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{7}{2}

The function domain

x < \frac{7}{2} or x > \frac{7}{2}

y - 1 = \frac{1}{5} (x + 1)

f (x) = 2 sec (\frac{1}{2} x)

(5, 0), (6, 4)

5 x - 2 y = 10

\frac{7 x ^{2} + 38 x - 24}{x ^{3}}

What is the domain of f(x)=(3x)/(7-2x) ?
The domain of f(x)=(3x)/(7-2x) is x< 7/2 \lor x> 7/2