What is the monotone f(x)=(x+8)/(sqrt(x)) ?

The monotone f(x)=(x+8)/(sqrt(x)) is Decreasing:0<x<8,Increasing:8<x<infinity

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monotone f(x)=(x+8)/(sqrt(x))

monotone

Decreasing : 0 < x < 8, Increasing : 8 < x < \infty

Solution steps

f^{'} (x) = \frac{x - 8}{2 x x}

Find intervals:

Decreasing

: 0 < x < 8,

Increasing

: 8 < x < \infty

Decreasing : 0 < x < 8, Increasing : 8 < x < \infty

What is the monotone f(x)=(x+8)/(sqrt(x)) ?
The monotone f(x)=(x+8)/(sqrt(x)) is Decreasing:0<x<8,Increasing:8<x<infinity