Show that the functions `f: R_*-R_*`defined by `f(x)=1/x` is one-one and onto. where R* is the set

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Is f(x)=1/x :R to R is 1-1 & Onto? What if we change it as f: N to R? | Problem Session |Class +2 Is f(x)=1/x :R to R is 1-1 & Onto? What if we change it as f: N to R? | Problem Session |Class +2