Algebraic Equations with Multiple Variables

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SUMMARY

The discussion focuses on solving algebraic equations with multiple variables, specifically the functions f(x)=(x^5)/(x^2+6) and f(x)=2x^3-4x. Participants emphasize the importance of understanding inverse functions and suggest that clarity in mathematical notation, such as using parentheses and LaTeX formatting, is crucial for effective communication. The conversation highlights the necessity of grasping the definition of inverse functions to progress in solving these equations.

PREREQUISITES
  • Understanding of inverse functions
  • Familiarity with polynomial equations
  • Basic knowledge of algebraic manipulation
  • Ability to use LaTeX for mathematical expressions
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  • Research the definition and properties of inverse functions
  • Learn how to solve polynomial equations with multiple variables
  • Practice using LaTeX for formatting mathematical equations
  • Explore examples of inverse functions in algebra
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Students, educators, and anyone interested in mastering algebraic equations and inverse functions in mathematics.

sammiyahc0
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f(x)=(x^5)/x^2+6 and f(x)=2x^3-4x



I tried x=(y^5)/(y^2+6) then x(y^2+6)=y^5 but idk after and
y=2x^3-4x then idk what to do
 
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Are you asking what are the inverse functions for these polynomials? If so, do you know the exact definition of "inverse function"? And if you do, would you start by stating the inverse function if ##f(x) = x^5##. Does that give you enough clue how to proceed?

If you aren't sure of the definition, it is certainly going to be impossible to do these problems. So look it up on the internet. I'll bet it's crawling with websites that discuss inverse functions and give examples.
 
sammiyahc0 said:
f(x)=(x^5)/x^2+6 and f(x)=2x^3-4x



I tried x=(y^5)/(y^2+6) then x(y^2+6)=y^5 but idk after and
y=2x^3-4x then idk what to do

Your post doesn't make sense to me. Can you please type the full question? And please use parens in your equations, so that the order of precedence is unambiguous. Even better would be to type them in LaTex:

https://www.physicsforums.com/showthread.php?t=710433

:smile:
 

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