What is the domain of (2x)/(4-7x) ?

The domain of (2x)/(4-7x) is x 4/7

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domain of (2x)/(4-7x)

domain

\frac{2 x}{4 - 7 x}

x < \frac{4}{7} or x > \frac{4}{7}

Interval Notation

(- \infty, \frac{4}{7}) \cup (\frac{4}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{4}{7}

The function domain

x < \frac{4}{7} or x > \frac{4}{7}

f (x) = lo g_{10} (\frac{x - 2}{x ^{2} - 5})

f (x) = ln (2 + x)

f (x) = 5 x^{4} - 14

What is the domain of (2x)/(4-7x) ?
The domain of (2x)/(4-7x) is x< 4/7 \lor x> 4/7