if f(x)=x3-3x+1 then fiind the number solution of f(f(fx)).
plzzz do solve in detail nd explain how to solve..
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3 Answers
39haha,
u would get a polynomial of degree 27 which i reckon only a super computer can solve :D
11Draw the graph of f(x).It will have one root between -2and -1(Say a); 0 and 1(b) and 1 and 2(say c).
Now for F(F(x)), Find roots of f(x)=a, f(x)=b, and f(x)=c.These are the roots of f(f(x)).
Thinking what to do for f(F(F(x)))....
341A similar question posted sometime ago on mathlinks (mine is the last post):
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=151&t=369052