You are given that the funcion is one-to-one when restricted on

Find the domain of the inverse function of f,

and find a formula for the inverse function.

I am totally stumped on this one.

Printable View

- September 11th 2009, 10:24 PMxxlvhInverse function problem
You are given that the funcion is one-to-one when restricted on

Find the domain of the inverse function of f,

and find a formula for the inverse function.

I am totally stumped on this one. - September 12th 2009, 02:11 AMtutor.mathitutorsol1.pdf

solution is attached.

- September 12th 2009, 06:08 PMxxlvh
The equation of the inverse looks correct, but when I checked graphically the domain is different. The approximate decimal values were -0.267 < x < 0.364

- September 12th 2009, 06:29 PMmr fantastic
It is correct that the inverse function is given by the rule . However, it is incorrect to say that the

**maximal**domain of is the same as the domain of the inverse function. The domain of the inverse function is in fact a subset of the maximal domain.

@OP: To find the domain of the inverse function you should recall that . So*your*job boils down to finding the range of the given function (so it looks like something is left for you to do after all). This job is quite straightforward since you know that f is a one-to-one function ....