What is the critical (x^2-9)/(x^2+3x) ?

The critical (x^2-9)/(x^2+3x) is None

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critical (x^2-9)/(x^2+3x)

critical points

\frac{x ^{2} - 9}{x ^{2} + 3 x}

None

Solution steps

\frac{x ^{2} - 9}{x ^{2} + 3 x}

Find where

f^{'} (x)

is equal to zero or undefined

x = 0

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{2} - 9}{x ^{2} + 3 x} : x < - 3 or - 3 < x < 0 or x > 0

\frac{x ^{2} - 9}{x ^{2} + 3 x}

is not defined at

x = 0

, therefore:

None

3 x^{2} + 5 x - 4

(x - 3)^{2} + 24

(3, - 5), (- 2, 8)

y = - \frac{7}{2} x - 2, (7, - 5)