functions

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..

3 Answers

39
Dr.House ·

haha,

u would get a polynomial of degree 27 which i reckon only a super computer can solve :D

11
sagnik sarkar ·

Draw 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)))....

341
Hari Shankar ·

A similar question posted sometime ago on mathlinks (mine is the last post):

http://www.artofproblemsolving.com/Forum/viewtopic.php?f=151&t=369052

Your Answer

Close [X]