What is the domain of f(x)=(sqrt(7x+2))/(x^2-5x+6) ?

The domain of f(x)=(sqrt(7x+2))/(x^2-5x+6) is -2/7 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=(sqrt(7x+2))/(x^2-5x+6)

domain

f (x) = \frac{7 x + 2}{x ^{2} - 5 x + 6}

- \frac{2}{7} \leq x < 2 or 2 < x < 3 or x > 3

Interval Notation

[- \frac{2}{7}, 2) \cup (2, 3) \cup (3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - \frac{2}{7}

Find undefined (singularity) points:

x = 3, x = 2

Combine real regions and undefined points for final function domain

- \frac{2}{7} \leq x < 2 or 2 < x < 3 or x > 3

What is the domain of f(x)=(sqrt(7x+2))/(x^2-5x+6) ?
The domain of f(x)=(sqrt(7x+2))/(x^2-5x+6) is -2/7 <= x<2\lor 2<x<3\lor x>3