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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of sqrt((7/x)+5)

domain

(\frac{7}{x}) + 5

x \leq - \frac{7}{5} or x > 0

Interval Notation

(- \infty, - \frac{7}{5}] \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - \frac{7}{5} or x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x \leq - \frac{7}{5} or x > 0

f (x) = \frac{5}{4} x + 15

\frac{x}{x - 1}

f (x) = \frac{5 - x}{x ^{2} - 9}

(5, - 6), (- 1, 2)

f (x) = 5 + \frac{4}{x}

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