When A Function Is to the power of -1what does it mean?

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- Dec 28th 2009, 08:07 PMabc10When A Function Is to the power of -1
When A Function Is to the power of -1what does it mean?

- Dec 28th 2009, 08:28 PMProve It
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. - Dec 28th 2009, 10:54 PMintegral
Expanding slightly on what prove it said.

A function to the power one -1 is the inverse of that function.

the inverse of a number is a number that multiplied by the original equals 1.

always.

----- - Dec 29th 2009, 02:39 AMGrandadInverse of a function
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:

... and so on.

... and so on.

- subtract ; and then

- divide by .

So:

Grandad

- subtract ; and then