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>= 1

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 \geq 1

Interval Notation

[1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 1

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

x \geq 1

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

f (x) = \frac{8 + x ^{4}}{x ^{2} - x ^{4}}

(3, 2), (- 4, - 1)

\frac{x}{4 + x}

11 x^{4} - 66 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>= 1