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Let (x) is a real function, defines as f...

Let (x) is a real function, defines as `f(x) =(x-1)/(x+1),` then prove that `f(2x)=(3f(x)+1)/(f(x)+3).`

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R.H.S. `(3f(x)+1)/(f(x)+3)`
`((3(x-1))/(x+1) + 1)/((x-1)/(x+1) + 3)`
= `(3(x-1)+ (x +1))/((x+1) + 3(x+1))`
= `(4x-2)/(4x+2) = (2x-1)/(2x+1)`
f(2x)
= L.H.S. `" "` Hence Proved.
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