Finding Inverses of F(x) on Restricted Intervals

[Karma]

Homework Statement

Let F(x)=x + 1 / x

a.) sketch graph
b.)From the Graph, it appears that f(x) becomes 1:1 when we restrict its domain to each of the four intervals (-infinity, -1], [-1,0), (0,1] and [1, infinity). For Each of these intervals, find a formula for the inverse of f(x) restricted to the interval.

Homework Equations

Well i sketched the graph which is 2 asymptotes in the X and Y Direction in quadrant 1 and 3... but where do i go from here? i really don't understand the question... just need some help as to where i start and where i end... thank you.

The Attempt at a Solution

 

[EnumaElish]

The question is, can you express x in terms of y by solving y = F(x), for each of the intervals?

 

[Karma]

Yes You can solve x in terms of y...sorry i don't know what to do next

 

[EnumaElish]

Solve x in terms of y. I will represent the solution as x = g(y), where g(y) is for you to find. Then see over which intervals (on the x axis) g is a well-defined function. (That is, make sure that g is defined over each of the four subintervals.)