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

The domain of f(x)=sqrt((x^2-2x-3)/(x-3)) is -1 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((x^2-2x-3)/(x-3))

domain

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

- 1 \leq x < 3 or x > 3

Interval Notation

[- 1, 3) \cup (3, \infty)

Solution steps

Find non-negative values for radicals:

- 1 \leq x < 3 or x > 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

- 1 \leq x < 3 or x > 3

f (x) = \frac{1}{tan ( x )}

y = 5 x - 5

+ 4 x + 20

g (x) = 3^{x - 2}

f (x) = \frac{2}{3} x^{2} + 1^{3}

What is the domain of f(x)=sqrt((x^2-2x-3)/(x-3)) ?
The domain of f(x)=sqrt((x^2-2x-3)/(x-3)) is -1<= x<3\lor x>3