Suppose f(1) = 2, f '(1) = 3 and f '(2) =4, then f^-1(2)=?

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Homework Help Overview

The problem involves the function f and its inverse, specifically given values for f and its derivatives at certain points. The original poster is tasked with finding f^-1(2) based on the provided information.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses uncertainty about which equations to use and requests direct steps for solving the problem. Some participants suggest that the derivatives may not be necessary for this specific question and hint at the relationship between a function and its inverse.

Discussion Status

The discussion is ongoing, with participants exploring the relevance of the provided information and questioning whether all details are necessary for solving the problem. Some guidance has been offered regarding the definition of the inverse function.

Contextual Notes

There is a suggestion that the derivatives provided may pertain to a different aspect of the problem, indicating potential confusion about the problem's requirements.

aizeltine
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Homework Statement



Suppose f(1) = 2, f '(1) = 3 and f '(2) =4, then f^-1(2)=?

Homework Equations




I don't even know what eqn to use

The Attempt at a Solution


Knowing that I don't know what eqn to use, how do i solve this
just plseas give me direct steps on how to answer it..
 
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You don't need the derivatives to solve this problem. Presumably those are for another part of the problem.

Hint: What is [itex]f^{-1}(f(x))[/itex]?
 
You need to learn the definition of [itex]f^{-1}(x)[/itex].
 
Is this all the problem?

There appears to be redundant, or rather irrelevant, information there.
 

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