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

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Show that the function f:R→{x∈R:−1x1} defined by f(x)=x/(1+|x|),x∈R is one to one and onto function. Show that the function f:R→{x∈R:−1x1} defined by f(x)=x/(1+|x|),x∈R is one to one and onto function.
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function f : R → (-1,1) is defined by f(x)= x/(1+|x|) | x belongs to R | is one one onto function function f : R → (-1,1) is defined by f(x)= x/(1+|x|) | x belongs to R | is one one onto function
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