F(x) = ( 2x+1 ) / ( x+1)
Resoudre l'equation f(x) =4

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Grade: Education Subject: mathematiques
F(x) = ( 2x+1 ) / ( x+1)
Resoudre l'equation f(x) =4
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Answer (58)

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(161)
(2x + 1)/(x + 1) = 4              avec x ≠ -1
2x + 1 = 4(x + 1)
2x + 1 = 4x + 4
1 - 4 = 4x - 2x
- 3 = 2x
- 3/2 = x

S= {- 3/2}
(215)


f(x)=4 ⇔ (2x+1)/(x+1)=4   avec x≠1

          ⇔ 2x+1=4(x+1)

          ⇔ 2x+1=4x+4

          ⇔1-4=4x-2x

          ⇔-3=2x

          ⇔-3/2=x

Donc pour f(x)=4, on a x=-3/2