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Tsurugis
@Tsurugis
May 2019
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Svp pouvez vous m'aider sur cet exercice
f(x)=grande racine x²- 4 g(x)=x+1/x-1
Calculer f0g(x) puis g0f(x)
Merci à l'avance!!!
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guestnosdevoir
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Bonsoir,
f(x)=√(x²- 4)
g(x)=x+1/x-1
gof(x)=(f(x)+1)/(f(x)-1)=[√(x²- 4)+1]/[√(x²- 4)-1].
fog(x)=√(g(x)²- 4)=√((x+1/x-1)²- 4)=√([(x+1)²- 4(x-1)²]/(x-1)²)=√([-3x²+10x-3]/(x-1)²).
:)
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Bonsoir,f(x)=√(x²- 4)
g(x)=x+1/x-1
gof(x)=(f(x)+1)/(f(x)-1)=[√(x²- 4)+1]/[√(x²- 4)-1].
fog(x)=√(g(x)²- 4)=√((x+1/x-1)²- 4)=√([(x+1)²- 4(x-1)²]/(x-1)²)=√([-3x²+10x-3]/(x-1)²).
:)