What is the domain of (sqrt(5x))/(7x-2) ?

The domain of (sqrt(5x))/(7x-2) is 0 2/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of (sqrt(5x))/(7x-2)

domain

\frac{5 x}{7 x - 2}

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

Interval Notation

[0, \frac{2}{7}) \cup (\frac{2}{7}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = \frac{2}{7}

Combine real regions and undefined points for final function domain

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

\frac{x ^{2}}{x ^{2} + 3}

f (x) = 6 x^{4}

f (x) = \frac{1}{2} (x - 1)^{2} - 5

(1, 8), (- 2, 5)

(4, 3), (- 1, - 3)

What is the domain of (sqrt(5x))/(7x-2) ?
The domain of (sqrt(5x))/(7x-2) is 0<= x< 2/7 \lor x> 2/7