Finding the Inverse of f(x) = (2x-5)/(7x+4)

  • Thread starter Thread starter luznyr
  • Start date Start date
  • Tags Tags
    Inverse
Click For Summary

Homework Help Overview

The discussion revolves around finding the inverse of the function f(x) = (2x-5)/(7x+4). Participants are exploring the algebraic manipulation required to isolate y in the equation derived from setting x equal to f(y).

Discussion Character

  • Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the steps involved in rearranging the equation x = (2y-5)/(7y+4) to solve for y. There are questions about specific points of difficulty in the manipulation process.

Discussion Status

Guidance has been offered on how to approach the rearrangement of terms to isolate y. Participants are actively engaging with each other's suggestions, indicating a collaborative effort to clarify the steps involved.

Contextual Notes

There is an acknowledgment of the challenges faced in the algebraic manipulation, with some participants expressing frustration and others providing encouragement. The tone suggests a supportive environment for problem-solving.

luznyr
Messages
28
Reaction score
0

Homework Statement



Find inverse of f(x) when f(x) = (2x-5)/(7x+4)

Homework Equations



none

The Attempt at a Solution



x=(2y-5)/(7y+4) and then i get stuck trying to rearrange back to y=...
 
Physics news on Phys.org
Where do you get stuck?? Multiply both sides by 7y+4, move all of the terms with a y in them to one side and solve for y. It's not that hard.
 
ok that gives x(7y+4) -2y= -5, 7xy+4x-2y=-5, so how do i get it back to y= then genius?
 
Keep all your terms with 'y' in them on one side, and all the other terms on the other, and then take out a factor of 'y', and it should be clear from there.
 
So 4x+5=2y-7xy=y(2-7x). Can you solve for y now, genius?
 
haha yep ty
 
BTW sorry about the 'it's not that hard' crack. If you don't see it, you don't see it.
 
yeah sry bout the genius thing, thanks for the help anyone, much appreciated
 

Similar threads

Question on Two Differentiation Techniques
  • · Replies 25 ·
Replies
25
Views
2K
Unsolvable max/min of surface with constraint
  • · Replies 9 ·
Replies
9
Views
2K
How should I calculate the stationary value of ## S[y] ##?
  • · Replies 2 ·
Replies
2
Views
2K
Inverse of a multivariate function
  • · Replies 12 ·
Replies
12
Views
4K
Derivative of Inverse Function
  • · Replies 14 ·
Replies
14
Views
2K
Find the constrained maxima and minima of ##f(x,y,z)=x+y^2+2z##
  • · Replies 2 ·
Replies
2
Views
2K
Verifying Solution for PDF to CDF and Inverse CDF Calculations
  • · Replies 4 ·
Replies
4
Views
2K
Find the dimensions that will minimize the surface area of a Rectangle
  • · Replies 1 ·
Replies
1
Views
2K
Prove that f is a homeomorphism iff g is continuous, fg=1 and gf=1
  • · Replies 5 ·
Replies
5
Views
2K
Avoid unpleasant integrals in solving IVP
  • · Replies 3 ·
Replies
3
Views
2K