MHB Given a range value, find the correspoding domain value

AI Thread Summary
To find the domain value corresponding to the range value of -1 for the function f(x) = -6x + 11, the equation f(x) is set to -1. This leads to the equation -6x + 11 = -1, which is then solved for x. The discussion emphasizes the importance of understanding the relationship between range and domain in functions. Users are encouraged to share their attempts to solve similar problems for more tailored assistance. This approach fosters a better learning environment and clarifies problem-solving methods.
sharkman1
Messages
1
Reaction score
0
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
 
Mathematics news on Phys.org
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.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Back
Top