What is the critical f(x)=(x^2-25)/(x^2-3x-10) ?

The critical f(x)=(x^2-25)/(x^2-3x-10) is None

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critical f(x)=(x^2-25)/(x^2-3x-10)

critical points

f (x) = \frac{x ^{2} - 25}{x ^{2} - 3 x - 10}

None

Solution steps

\frac{x ^{2} - 25}{x ^{2} - 3 x - 10}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 2

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{2} - 25}{x ^{2} - 3 x - 10} : x < - 2 or - 2 < x < 5 or x > 5

\frac{x ^{2} - 25}{x ^{2} - 3 x - 10}

is not defined at

x = - 2

, therefore:

None

x^{2} - 25

\frac{4 x - 12}{( x - 2 ) ^{2}}

f (t) = (t^{2} - 4)^{\frac{2}{3}}

x^{4} - 32 x + 4

f (x) = \frac{2 x + 1}{x ^{2} + 6 x + 5}

What is the critical f(x)=(x^2-25)/(x^2-3x-10) ?
The critical f(x)=(x^2-25)/(x^2-3x-10) is None