What is the critical f(x)=0.09x+17+(350)/x ?

The critical f(x)=0.09x+17+(350)/x is x=-(50sqrt(14))/3 ,x=(50sqrt(14))/3

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critical f(x)=0.09x+17+(350)/x

critical points

f (x) = 0.09 x + 17 + \frac{350}{x}

x = - \frac{50 14}{3}, x = \frac{50 14}{3}

Solution steps

0.09 x + 17 + \frac{350}{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{50 14}{3}, x = \frac{50 14}{3}, x = 0

Identify critical points not in

f (x)

domain

Domain of

0.09 x + 17 + \frac{350}{x} : x < 0 or x > 0

0.09 x + 17 + \frac{350}{x}

is not defined at

x = 0

, therefore:

x = - \frac{50 14}{3}, x = \frac{50 14}{3}

\frac{( 7 + \frac{1}{x} )}{( \frac{1}{x} )}

(- 5, - 5), (- 9, - 2)

f (x) = (x - 5)^{\frac{4}{5}}

f (x) = 5 - x + 6 + x

f (x) = 4 sin (2 x - \frac{π}{3}) + 1

What is the critical f(x)=0.09x+17+(350)/x ?
The critical f(x)=0.09x+17+(350)/x is x=-(50sqrt(14))/3 ,x=(50sqrt(14))/3