0 votes 0 votes Show that the function $f(x)=|x|$ from the set of real numbers to the set of nonnegative real numbers is not invertible, but if the domain is restricted to the set of nonnegative real numbers, the resulting function is invertible. Set Theory & Algebra kenneth-rosen discrete-mathematics set-theory&algebra + – Pooja Khatri asked Apr 9, 2019 Pooja Khatri 973 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes given function f(x) = |x| the function is not one to one { f(2) = 2 = f(-2) }. so it is not invertible. if domains changes to non negative real numbers then f(x) = x which is one to one and it is invertible. chinmai answered Mar 24, 2021 chinmai comment Share Follow See all 0 reply Please log in or register to add a comment.