Finding Inverse Functions: f(22)=9, f^-1(13)=7 | 1-1 Functions

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Homework Help Overview

The problem involves finding the values of inverse functions given specific mappings of a one-to-one function. The original poster provides values for f(22) and f^-1(13) and seeks to determine f^-1(9) and f(7).

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the nature of inverse functions and their mappings, questioning what it means for a function to map x onto y and how the inverse function operates in that context.

Discussion Status

Participants are exploring the definitions and implications of inverse functions, with some providing insights into the mapping relationships. There is an ongoing inquiry into the meaning of the mappings provided and how they relate to finding the desired values.

Contextual Notes

There is a lack of explicit equations for the functions involved, which may affect the ability to derive the required values. The discussion is framed within the constraints of one-to-one functions.

steve snash
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Homework Statement


f(22)=9 and f^-1(13)=7

find f^-1(9) and f(7)

(given that these are 1-1 functions)

Homework Equations


What does this mean as the have not given the equations they used to find the values, i know inverse function is the function that can find the opposite of the original function.


The Attempt at a Solution


Can someone help me see how to start to work out this problem??
 
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If a function f maps x onto y, then what should the inverse function do?
 
map y onto x, but what does that mean
 
steve snash said:
map y onto x, but what does that mean

In the first case f(22)=9, this means that the function f, maps 22 to 9.

then f-1(9), means the function f-1 maps 9 onto ?
 
steve snash said:

Homework Statement


f(22)=9 and f^-1(13)=7

find f^-1(9) and f(7)

(given that these are 1-1 functions)

Homework Equations


What does this mean as the have not given the equations they used to find the values, i know inverse function is the function that can find the opposite of the original function.


The Attempt at a Solution


Can someone help me see how to start to work out this problem??

What does it mean by [tex]f^{-1}[f(x)][/tex] or [tex]f[f^{-1}(x)][/tex] it simply means to tie your shoelace and undo it .. or vice versa.
 

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