Given a range value, find the correspoding domain value

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SUMMARY

The discussion centers on determining the domain value corresponding to a given range value of -1 for the function f(x) = -6x + 11. To find the domain value, users set the equation f(x) = -1 and solve for x. This approach confirms that the range is associated with the function f, not the variable x. The correct interpretation involves solving the equation -6x + 11 = -1 to derive the domain value.

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Here is the problem:
If -1 is a range value for the function f(x) = -6x + 11, find the domain value.

thank you for your help
 
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I've changed the title of your thread to reflect the nature of the question being asked. This gives people an indication of what is being discussed without having to view the thread.

We also ask that our users show what they have tried, so we know best how to help. When we don't know what you've tried we can't really offer help specific to your needs. We don't want to just do your work for you because this doesn't really help you learn.

Is range associated with $f$ or $x$?
 
Is it -6x + 11 = -1?
 
Monoxdifly said:
Is it -6x + 11 = -1?

Yes, we set:

$$f(x)=-1$$

And then solve for $x$ to get the "domain" value associated with the "range" value of -1. I don't think I have ever read a problem termed like this, so this is how I think it should be interpreted.
 

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