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

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

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

critical points

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

x = - 2

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = - 2, x = 0

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{2} + x + 1}{x ^{2}} : x < 0 or x > 0

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

is not defined at

x = 0

, therefore:

x = - 2

f (x) = sec (x)

f (x) = x^{2} - 9

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

f (x) = x^{4} + 2 x^{3} - 2 x^{2} + 4

\frac{x}{x ^{2} - 9}

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