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

The domain of f(x)=(sqrt(x-2))/(x-5) is 2 5

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-2))/(x-5)

domain

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

2 \leq x < 5 or x > 5

Interval Notation

[2, 5) \cup (5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

2 \leq x < 5 or x > 5

f (x) = 8 x

(0.2) (2.8)

x^{2} - 4 x + 3

f (x) = 2 (x) - tan (x)

y = x^{2} + 2 x + 1

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