Question

Show (-1,1)~R (where R= set of real numbers) by f(x)= x/(1-|x|) Use this to show g(x)=x/(d-|x|)...

Show (-1,1)~R (where R= set of real numbers) by f(x)= x/(1-|x|)

Use this to show g(x)=x/(d-|x|) is also a bijection (i.e. g: (-d,d)->R)

Finally consider h(x)= x + (a+b)/2 and show it is a bijection where h: (-d,d)->(a,b)

Conclude: R~(a,b)

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