Mathematics: Suppose f(x)= x/(x+1) and g(x)= (x+1)/x. then ((f∘g)−(g∘)=

Suppose f(x)= x/(x+1) and g(x)= (x+1)/x. then ((f∘g)−(g∘)=

Ответ:

naleyah

08.01.2022

$((f\circ g)-(g\circ f))(x)=\dfrac{-3x^2-3x-1}{2x^2+x}$

Step-by-step explanation:

$((f\circ g)-(g\circ f))(x)=\dfrac{\dfrac{x+1}{x}}{\dfrac{x+1}{x}+1}-\dfrac{\dfrac{x}{x+1}+1}{\dfrac{x}{x+1}}\\\\=\dfrac{x+1}{2x+1}-\dfrac{2x+1}{x}=\dfrac{x(x+1)-(2x+1)^2}{x(2x+1)}\\\\=\bf{\dfrac{-3x^2-3x-1}{2x^2+x}}$

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Ответ:

fluffylove83

10.12.2020

Mathematics

It will take him about 2 and a half years (2.5 or 2 1/2).

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f(x)= x/(x+1) and g(x)= (x+1)/x. then ((f∘g)−(g∘)=

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