What is the critical f(x)=(x^2+17)/(x-2) ?

The critical f(x)=(x^2+17)/(x-2) is x=2-sqrt(21),x=2+sqrt(21)

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critical f(x)=(x^2+17)/(x-2)

critical points

f (x) = \frac{x ^{2} + 17}{x - 2}

x = 2 - 21, x = 2 + 21

Solution steps

\frac{x ^{2} + 17}{x - 2}

Find where

f^{'} (x)

is equal to zero or undefined

x = 2 - 21, x = 2 + 21, x = 2

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{2} + 17}{x - 2} : x < 2 or x > 2

\frac{x ^{2} + 17}{x - 2}

is not defined at

x = 2

, therefore:

x = 2 - 21, x = 2 + 21

f (x) = - 7 x + 5

f (x) = x + 6 - x

y = 2 ln (x - 1)

f (x) = 6 x - 2

\frac{2}{3} x

What is the critical f(x)=(x^2+17)/(x-2) ?
The critical f(x)=(x^2+17)/(x-2) is x=2-sqrt(21),x=2+sqrt(21)