Calculate the inverse of f(x) = x^3 = 3x^2 + 3x -1

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Homework Help Overview

The discussion revolves around finding the inverse of the function f(x) = x^3 - 3x^2 + 3x - 1. Participants are exploring methods to manipulate the polynomial and identify roots.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss factoring the polynomial and consider using polynomial long division to simplify the expression. There are questions about identifying specific values of x that make f(x) = 0 and the relevance of Pascal's Triangle in the factoring process.

Discussion Status

The discussion is active, with participants sharing different approaches and questioning the methods being used. There is an acknowledgment of forum rules regarding the provision of full answers, which has led to a reminder about the guidelines.

Contextual Notes

Participants are navigating the constraints of the forum rules that prohibit complete solutions, which influences the nature of the guidance and suggestions being offered.

mooneh
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f inverse for f(x)= x^3-3x^2+3x-1

i thought of taking x common factor x(x^2-3x+3)-1
but i got stuck with the quadratic equation !
HELP...
 
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The coefficients of x^3, x^2, x, and 1 are +1, -3, +3, -1, an interesting pattern. Can you guess a value of x that makes f(x)=0 ? Call that value x0. Then, you can divide f(x) by x-x0 using polynomial long division: http://www.purplemath.com/modules/polydiv2.htm. That will give you a quadratic that you can factorize.
 
better yet to factorise...from x^3-3x^2 is there any factor you can't take out to make it 3x-1?
 
Sorry!, please note that the rules for the Homework Help forums explicitly state that full answers should never be given to students.
 
ooooh my bad. sorry about that cristo... i never saw a post about rules :o

but yeah... mooneh have you ever used or heard of Pascals Triangle before it's much easier to factor than long/synthetic division etc. etc. especially for the particular function you stated... from there you just solve to get the inverse
 
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