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Fie f:R definit inR,f(x)=8-x. a) sa se calculeze f(1) x f(2)... × f(2020)


Răspuns :

Salutare!

f : R → R

f(x) = 8 - x

f(1) × f(2) × ... × f(2020) = ?

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f(1) = 8 - 1 = 7

f(2) = 8 - 2 = 6

f(3) = 8 - 3 = 5

. . . . .

f(8) = 8 - 8 = 0

. . . . . .

f(2020) = 8 - 2020 = -2012

⇒ f(1) × f(2) × ... × f(2020) =

= f(1) × f(2) × ... × f(8) × ... × f(2020) =

= 7 × 6 × .... × 0 × ... × (-2012) = 0