What is the domain of y=(x-8)/((x-3)(x+5)) ?

The domain of y=(x-8)/((x-3)(x+5)) is x 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of y=(x-8)/((x-3)(x+5))

domain

y = \frac{x - 8}{( x - 3 ) ( x + 5 )}

x < - 5 or - 5 < x < 3 or x > 3

Interval Notation

(- \infty, - 5) \cup (- 5, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 5

The function domain

x < - 5 or - 5 < x < 3 or x > 3

What is the domain of y=(x-8)/((x-3)(x+5)) ?
The domain of y=(x-8)/((x-3)(x+5)) is x<-5\lor-5<x<3\lor x>3