F(8) = -23 and f^(-1)(-25) = 3 what is this functions

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Homework Help Overview

The discussion revolves around understanding the properties of a function and its inverse, specifically given the conditions f(8) = -23 and f^(-1)(-25) = 3. Participants are exploring the nature of these functions and their relationships.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the terminology and definitions related to functions and their inverses. There is uncertainty about what is being asked regarding the inverse of f and its implications.

Discussion Status

The discussion includes attempts to clarify the definitions of the function and its inverse. Some participants have provided insights into the relationship between f and its inverse, while others express confusion about the original question and its intent.

Contextual Notes

There is a recognition that multiple functions could satisfy the given conditions, leading to a lack of specificity in naming the functions. Participants are also navigating the definitions and properties of inverse functions without reaching a consensus on the original question's intent.

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f(8) = -23 and f^(-1)(-25) = 3

what is this functions called??
 
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What is the functions called? I'm not sure I understand your question. The first function is called f, and the second function is called the inverse of f.

There are infinitely many functions that satisfy the conditions f(8) = -23 and f^(-1)(-25) = 3, so there is no special name for such functions.
 


so, the question states that

the inverse of f (-23)= ?

What's the question tells me to find anyway??
 


About this, i finally found a webpage that would allowed me to understand inverse function. thanks anyway.
 


Yes, if f(a)= b, then f-1[b)= a, by the definition of "inverse". If f(8)= -23, then f-1(-23)= 8.
 

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