What is the domain of f(x)=sqrt(((x-3))/((x-7))) ?

The domain of f(x)=sqrt(((x-3))/((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-3))/((x-7)))

domain

f (x) = \frac{( x - 3 )}{( x - 7 )}

x \leq 3 or x > 7

Interval Notation

(- \infty, 3] \cup (7, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 3 or x > 7

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

x \leq 3 or x > 7

x^{\frac{1}{3}}

f (x) = 2 + \frac{1 + x}{9 - x ^{2}}

f (x) = 2 x^{2} + 5 x - 4

ln (2 x + 1)

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

What is the domain of f(x)=sqrt(((x-3))/((x-7))) ?
The domain of f(x)=sqrt(((x-3))/((x-7))) is x<= 3\lor x>7