What is the critical f(x)=((x^2+1))/((x^2-4)) ?

The critical f(x)=((x^2+1))/((x^2-4)) is x=0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

critical f(x)=((x^2+1))/((x^2-4))

critical

x = 0

Solution steps

\frac{x ^{2} + 1}{x ^{2} - 4}

Find where

f^{'} (x)

is equal to zero or undefined

x = 0, x = - 2, x = 2

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{2} + 1}{x ^{2} - 4} : x < - 2 or - 2 < x < 2 or x > 2

\frac{x ^{2} + 1}{x ^{2} - 4}

is not defined at

x = - 2, x = 2

, therefore:

x = 0

What is the critical f(x)=((x^2+1))/((x^2-4)) ?
The critical f(x)=((x^2+1))/((x^2-4)) is x=0