1pagal samjha
Let f(x) = x2 − 2x. How many distinct real numbers "c" satisfy f(f(f(f(c)))) = 3?
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6 Answers
1:):) 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.
23easy 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 ..
1[{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)}]
1@pankaj,is this fofofof(x) ??
Anyone interested for the solution of this?