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

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

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

monotone intervals

f (x) = \frac{x}{x - 1}

Decreasing : - \infty < x < 1, Decreasing : 1 < x < \infty

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Decreasing : - \infty < x < 1, Decreasing : 1 < x < \infty

s l o p e f (x) = 3 - 2 x e n e l (- 1.5)

r an g e \frac{x ^{2} + 12}{3}

d o main f (x) = a y = 3 x - 1

d o main f (x) = ln ((2 x + 3) + \frac{1}{x})

mi d p o in t (- 5, 3), (3, - 1)

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