



 
Nayeem, I'm going to give you the trick and let you try to apply it. And I'm certainly not going to show you the work! Trick: don't assume that the functions have every "nice" property you know of. They may be noncontinuous, or not 11. For instance, the function $x > x^2$ maps the open interval (1,1) onto the halfopen interval [0,1), but it gets away with this by not being 11. God Hunting! A second trick is that you might need to express the function in a piecewise fashion. Harley  


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