Findf-1(x) for the one-to-one function

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- February 22nd 2009, 12:11 AMkeadyjrPrecalculus
Find

*f*-1(*x*) for the one-to-one function

http://www.webassign.net/www24/symIm...ed28536236.gif - February 22nd 2009, 02:01 AMGrandadInverse of a function
Hello keadyjrWhat you have to do here is to let , and then make the subject of the formula.

So

, say.

So what now have is that (in other words, is the function that maps onto ), and . So maps back onto . Therefore is therefore the inverse of ; i.e.

Now it doesn't matter what letter is used for the parameter that's fed into a function, and it's usual to use rather than . So we would usually write:

I hope that clears it up OK.

Grandad