What is the domain of a/(a-6)-3/(a+6)+(a^2)/(36-a^2) ?

The domain of a/(a-6)-3/(a+6)+(a^2)/(36-a^2) is a 6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of a/(a-6)-3/(a+6)+(a^2)/(36-a^2)

domain

\frac{a}{a - 6} - \frac{3}{a + 6} + \frac{a ^{2}}{36 - a ^{2}}

a < - 6 or - 6 < a < 6 or a > 6

Interval Notation

(- \infty, - 6) \cup (- 6, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

a = 6, a = - 6

The function domain

a < - 6 or - 6 < a < 6 or a > 6

What is the domain of a/(a-6)-3/(a+6)+(a^2)/(36-a^2) ?
The domain of a/(a-6)-3/(a+6)+(a^2)/(36-a^2) is a<-6\lor-6<a<6\lor a>6