Show that the function f:R tends to (-1,1) is defined by f(x)= x|(1+|x|) | x belongs to R | is on

Show that the function f:R tends to (-1,1) is defined by f(x)= x/(1+|x|) | x belongs to R | is one-one on to function.








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Show that the function,f:R tends to (-1,1),is defined by f(x)= x/(1+|x|),x belongs to R,is one-one on to function.,