What is the monotone f(x)= 2/(x+5) ?

The monotone f(x)= 2/(x+5) is Decreasing:-infinity <x<-5,Decreasing:-5<x<infinity

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monotone f(x)= 2/(x+5)

monotone intervals

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

Decreasing : - \infty < x < - 5, Decreasing : - 5 < x < \infty

Solution steps

f^{'} (x) = - \frac{2}{( x + 5 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < \infty

Decreasing : - \infty < x < - 5, Decreasing : - 5 < x < \infty

s im pl i f y (2.4) (4.4)

in t erce pt s \frac{- 12 x - 40}{9 x + 6}

mi d p o in t (- 44, - 21), (43, - 32)

d o main f (x) = 5 x^{2} + 7 x - 11

p er p e n d i c u l a r y = \frac{3}{2} x - 4, (4, - 2)

What is the monotone f(x)= 2/(x+5) ?
The monotone f(x)= 2/(x+5) is Decreasing:-infinity <x<-5,Decreasing:-5<x<infinity