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# Function f(x) satisfies the following function f(x) =F(x^2)

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Current Student
Joined: 04 Nov 2006
Posts: 132
Followers: 1

Kudos [?]: 17 [0], given: 8

Function f(x) satisfies the following function f(x) =F(x^2) [#permalink]  14 Nov 2006, 03:33
Function f(x) satisfies the following function f(x) =F(x^2) for all x which of the following must be true?

F(4) = F(2)*F(2)
F(16) - F(-2) = 0
F(-2) + F(4) = 0
F(3) = 3*F(3)
F(0) = 0
SVP
Joined: 05 Jul 2006
Posts: 1522
Followers: 5

Kudos [?]: 107 [0], given: 39

Function f(x) satisfies the following function f(x) =F(x^2) for all x which of the following must be true?

F(4) = F(2)*F(2)
F(16) - F(-2) = 0
F(-2) + F(4) = 0
F(3) = 3*F(3)
F(0) = 0

first and last
Manager
Joined: 09 Nov 2006
Posts: 51
Followers: 0

Kudos [?]: 0 [0], given: 0

Function f(x) satisfies the following function f(x) =F(x^2) for all x which of the following must be true?

F(4) = F(2)*F(2)
F(16) - F(-2) = 0
F(-2) + F(4) = 0
F(3) = 3*F(3)
F(0) = 0

only first and last
F(4) = F(2)*F(2) => x = 2 => f(2) = f(2^1/2) * f(2^1/2) = F(2^2)
F(0) = 0 => x=0 => f(0) = F(0^2)
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