SOLUTION: I'm working with a student myself at a Deaf school in Jamaica and we came across a problem that stumped me. The question is: If f(x)=2x-3, then find the value of f^-1(0) The

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Question 166996: I'm working with a student myself at a Deaf school in Jamaica and we came across a problem that stumped me. The question is:
If f(x)=2x-3, then find the value of f^-1(0)
The part that stumps me is putting f to the power of -1.
We understand how to solve the problem if it's not but to a power.
Thank you so much for your help! I appreciate it greatly.
-Isaac

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Isaac, it's not a power but it stands for the inverse function.
For example, if I have a function such that

then the inverse function, would be such that when I plug in x=5, I would get back y=1.

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1.To find the inverse, first change to x,y notation.

Then interchange the positions of x and y and solve for y.



}
The solution for the new y is the inverse function.

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.
Let's try it.


Now when I plug in x=-1 into the inverse function,
I should get back y=1.




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You interested at the value of the inverse function for x=0.



You could have also solved it by asking what x makes my original function equal to zero.



The inverse functions interchange x and y values.
Hopefully that makes sense. Good luck!

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