What is the critical (x^2-7)/(x-4) ?

The critical (x^2-7)/(x-4) is x=1,x=7

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critical (x^2-7)/(x-4)

critical points

\frac{x ^{2} - 7}{x - 4}

x = 1, x = 7

Solution steps

\frac{x ^{2} - 7}{x - 4}

Find where

f^{'} (x)

is equal to zero or undefined

x = 1, x = 7, x = 4

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{2} - 7}{x - 4} : x < 4 or x > 4

\frac{x ^{2} - 7}{x - 4}

is not defined at

x = 4

, therefore:

x = 1, x = 7