Finding Inverse of f(x) = 3 + x^2 + tan(pi x/2) -1/x/1 and f(x) = x^3 +x +1

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Homework Help Overview

The discussion revolves around finding the inverses of two functions: f(x) = 3 + x^2 + tan(pi x/2) - 1/x/1 and f(x) = x^3 + x + 1. Participants are exploring methods to explicitly solve for x in these equations to determine their inverses.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are discussing the challenges of manipulating the given functions to find their inverses. There are inquiries about the specific requirements of the problem, including whether graphing is involved, and suggestions to consider alternative methods such as power series reversion.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts on the difficulty of the problem and exploring different approaches. Some guidance has been offered regarding the need to clarify the problem requirements, but no consensus has been reached on a specific method to find the inverses.

Contextual Notes

There is a lack of explicit information about any constraints or specific methods that must be used to find the inverses, which may affect the participants' approaches.

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I can't seem to find the inverse to these two functions:

f(x) = 3 + x^2 + tan(pi x/2) -1/x/1

f(x) = x^3 +x +1

I've tried manipulating these both for a half hour. But I havn't found the way to find the inverses of these. Any hints?
 
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It might help if you stated exactly what the problem is that you need to solve. Did the question say anything about graphing?
 
Nope, no graphs. I am supposed to find the inverse by solving the equation explicitly for x and then switch the variables to find the inverse.
 
Tide said:
It might help if you stated exactly what the problem is that you need to solve. Did the question say anything about graphing?

He's asking for the inverse, which is pretty clear in his post.

Personally, I thank god I don't have to do that. The second doesn't look so bad though.
 
Tried reversion of power series yet?
 

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