Find f(x)^-1 of y=4x+9/2x-3: Answer in Textbook

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Homework Help Overview

The discussion revolves around finding the inverse function f(x)^-1 for the equation y=(4x+9)/(2x-3). Participants reference a textbook answer for the inverse function.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to manipulate the equation to isolate x and find the inverse. Questions arise regarding the placement of brackets in the original equation and how to rearrange terms effectively.

Discussion Status

There are multiple lines of reasoning being explored, with some participants providing steps and others questioning the clarity of the original problem. Guidance on rearranging terms and the importance of notation has been offered, but no consensus has been reached on the method to find the inverse.

Contextual Notes

Participants are discussing the implications of missing brackets in the original equation, which may affect the interpretation of the problem. There is also a mention of homework rules regarding the sharing of solutions.

Ry122
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how do i find
f(x)^-1 of y=4x+9/2x-3
the answer in the back of the textbook is

f(x)^-1=3x+9/2x-4
 
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Show your attempt at a solution, or pay me 1 dollar for doing your homework for you (your choice).
 
2x=4x+9/y + 3y/y
2x=4x+9+3y/y
How do i move 4x to the other side?
 
is 9/2x in your original post 9/(2x)? Just want to check.
 
Heres the full working out:
y(2x-3)=4x+9
2x-3=4x+9/y
2x=4x+9/y + 3
2x=4x+9/y + 3y/y
 
You got to learn to put brackets in your eqns. There's no way anyone could have understood your original problem without the brackets.

y(2x-3)=4x+9
x(2y-4)-3y=9
x=(9+3y)/(2y-4)
 
Sorry to bother u again but how
do u get from
y(2x-3)=4x+9 to
x(2y-4)-3y=9
 
expand and collect terms in x

y(2x-3)=4x+9
->
y2x-3y=4x+9
->
x(2y)-3y=x(4)+9
->
x(2y-4)-3y=9
 

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