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

The domain of f(x)=(sqrt((13-2x)))/(x-3) is x<3\lor 3<x<= 13/2

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

domain

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

x < 3 or 3 < x \leq \frac{13}{2}

Interval Notation

(- \infty, 3) \cup (3, \frac{13}{2}]

Solution steps

Find non-negative values for radicals:

x \leq \frac{13}{2}

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x < 3 or 3 < x \leq \frac{13}{2}

f (x) = sin (\frac{x}{2})

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

f (x) = - x + 2

\frac{x ^{2} + 3 x + 2}{- 3 x - 12}

2^{x - 1} + 2

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