What is the domain of f(x)=sqrt((x+2)/(x-7)) ?

The domain of f(x)=sqrt((x+2)/(x-7)) is x 7

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+2)/(x-7))

domain

f (x) = \frac{x + 2}{x - 7}

x \leq - 2 or x > 7

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x > 7

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

x \leq - 2 or x > 7

\frac{x}{x}

f (x) = ln (4 x - x^{2})

f (x) = \frac{20}{x ^{2} - 4 x - 96}

3 x - 10

f (x) = (- 2 x)^{3}

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