What is the domain of f(x)=(sqrt(3x-13))/(2x) ?

The domain of f(x)=(sqrt(3x-13))/(2x) is x>= 13/3

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(3x-13))/(2x)

domain

f (x) = \frac{3 x - 13}{2 x}

x \geq \frac{13}{3}

Interval Notation

[\frac{13}{3}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq \frac{13}{3}

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x \geq \frac{13}{3}

f (x) = \frac{3 x + 4}{2 x - 5}

3 (y - 1) = 2 x + 2

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

f (x) = x^{\frac{4}{5}} (x + 3)

f (x) = \frac{7 x - 3}{3 x ^{2} + 3}

What is the domain of f(x)=(sqrt(3x-13))/(2x) ?
The domain of f(x)=(sqrt(3x-13))/(2x) is x>= 13/3