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If f(x) = (2x−3)/(x-2), which of the following is true for all x != 2?

Mathematics

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Graph of f(x) = (2x − 3)/(x − 2)

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Key points of f(x) = (2x − 3)/(x − 2)
Pointxy
y-intercept01.5
x-intercept1.50

1. Si f(x)=2x−3x−2f(x) = \frac{2x-3}{x-2}, laquelle des affirmations suivantes est vraie pour tout x≠2x \neq 2 ?

Pour trouver f(f(x))f(f(x)), nous substituons f(x)f(x) dans f(x)f(x).

  • Étape 1 : Calculer f(f(x))f(f(x)). f(f(x))=f(2x−3x−2)f(f(x)) = f\left(\frac{2x-3}{x-2}\right) Nous remplaçons xx dans l'expression de f(x)f(x) par 2x−3x−2\frac{2x-3}{x-2} :
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