What is the domain of sqrt((-2+x)/(4x-1/4)+3) ?

The domain of sqrt((-2+x)/(4x-1/4)+3) is x = 11/52

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of sqrt((-2+x)/(4x-1/4)+3)

domain

\frac{- 2 + x}{4 x - \frac{1}{4}} + 3

x < \frac{1}{16} or x \geq \frac{11}{52}

Interval Notation

(- \infty, \frac{1}{16}) \cup [\frac{11}{52}, \infty)

Solution steps

Find non-negative values for radicals:

x < \frac{1}{16} or x \geq \frac{11}{52}

Find undefined (singularity) points:

x = \frac{1}{16}

Combine real regions and undefined points for final function domain

x < \frac{1}{16} or x \geq \frac{11}{52}

f (x) = 10 - 9 x + 6

f (x) = 0.5 (35 - 2 x)

2 x^{3} - 17 x^{2} - 31 x + 20

x^{3} - x^{2} - 6 x

\frac{- 7 - 4 x}{x - 9}

What is the domain of sqrt((-2+x)/(4x-1/4)+3) ?
The domain of sqrt((-2+x)/(4x-1/4)+3) is x< 1/16 \lor x>= 11/52