What is the domain of f(x)=(sqrt(x-1))/(sqrt(x-5)) ?

The domain of f(x)=(sqrt(x-1))/(sqrt(x-5)) is x>5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)=(sqrt(x-1))/(sqrt(x-5))

domain

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

x > 5

Interval Notation

(5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x > 5

f (x) = - \frac{8}{27} x^{3}

f (x) = x^{2} - 9

\frac{4 x}{x ^{2} + 1}

f (x) = \frac{1}{7} x^{2}

What is the domain of f(x)=(sqrt(x-1))/(sqrt(x-5)) ?
The domain of f(x)=(sqrt(x-1))/(sqrt(x-5)) is x>5