What is the monotone f(x)= 1/(x-2) ?

The monotone f(x)= 1/(x-2) is Decreasing:-infinity <x<2,Decreasing:2<x<infinity

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monotone f(x)= 1/(x-2)

monotone

Decreasing : - \infty < x < 2, Decreasing : 2 < x < \infty

Solution steps

f^{'} (x) = - \frac{1}{( x - 2 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Decreasing : - \infty < x < 2, Decreasing : 2 < x < \infty

What is the monotone f(x)= 1/(x-2) ?
The monotone f(x)= 1/(x-2) is Decreasing:-infinity <x<2,Decreasing:2<x<infinity