f0f0f0f

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Let f(x) = x² âˆ’ 2x. How many distinct real numbers "c" satisfy f(f(f(f(c)))) = 3?

#Mathematics #Calculus

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6 Answers

1

Mayank Goswami ·2011-04-21 07:02:44

pagal samjha

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1

samagra Kr ·2011-04-21 07:50:10

:):) jayda pagalpan karne se difficulty badhega. there is a very simple way of dealing with this.You don't need to compose f on itself 4 times.

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23

qwerty ·2011-04-21 09:00:17

easy one yaar,
u need to find that x for wich f = 3 , then find that x for which f(X)gives u f=3 on putting x =f(X) and so on ..

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1

samagra Kr ·2011-04-23 01:47:50

yes qwert u are right

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1

Pankaj Kharkwal ·2011-04-25 09:52:20

[{x^4+(4*x^3)+(6*x^2)+(4*x)}^2+{(2*x^4)+(8*x^3)+(12*x^2)+(8*x)}]^2+2*[{x^4+(4*x^3)+(6*x^2)+(4*x)}^2+{(2*x^4)+(8*x^3)+(12*x^2)+(8*x)}]

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samagra Kr ·2011-04-26 01:14:56

@pankaj,is this fofofof(x) ??
Anyone interested for the solution of this?

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