When A Function Is to the power of -1what does it mean?
It can have two meanings.
If you take the literal meaning for "power of -1", then
.
But the more-often used meaning for this notation is the "Inverse Function"
Basically, if you have a function , then the inverse function is the function whose graph is a reflection along the line . So the and values have swapped. Also, the domain and range have also swapped.
Hello abc10
Just to expand a little further on the replies so far:
Yes, denotes the inverse of the function .
Let's take a simple function like . Then, for example:
Then is the function that reverses this process. So:
... and so on.
Perhaps you can work out what does? Since multiplies by and then adds , will do the 'opposite' things in the reverse order. In other words, will:
... and so on.
- subtract ; and then
- divide by .
So:
(Try this function with the values , and and check that you get , and .)
Grandad