1617-257/HW-5

J.I. graded problem 5 from section 8. Many employed the inverse function theorem (IFT) inappropriately here (injectivity is a requirement for the statement of the IFT - otherwise, the conclusion that the function in question is invertible doesn't make sense in the first place). Among other things, one could have either delved into a proof of the IFT or argued that the function is locally injective so that one can employ the IFT locally.