What Is the Slope of the Inverse of f(x)?

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    Inverse Slope
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Homework Help Overview

The problem involves determining the slope of the inverse function of a linear function given by f(x)=(-5/7)x-3. The original poster seeks to find the slope of f^-1(x) without explicitly calculating the inverse function.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster suggests that the slope of f^-1(x) is (-7/5) and questions the correctness of this assertion. Another participant confirms this but introduces the idea of graphing for verification. A separate participant questions the role of the constant term -3 in relation to the slope.

Discussion Status

The discussion includes confirmations of the original poster's assertion regarding the slope, alongside inquiries about the relevance of the constant term in the context of slope determination. There appears to be an exploration of different aspects of the problem without a definitive consensus.

Contextual Notes

Participants are navigating the implications of the linear function's characteristics, particularly the relationship between slope and y-intercept in the context of inverse functions.

aisha
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:smile: My question says f(x)=(-5/7)x-3 determine the slope of f^-1(x) without finding the inverse. I think the answer is the slope of f^-1(x)=(-7/5)x
Is this correct?
 
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Yes. It is correct. Once again, you can check this by graphing the function and seeing the reflection over f(x) = x
 
Last edited:
I actually had the same question, where did the -3 go?
 
MaryB, the -3 has nothing to do with the slope.
 

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