If fx - x - 1x - 1 then prove that f2x - 3fx - 1fx - 3

f(x)=x 1x+1 f(2x)=3f(x)+1f(x)+3 L.H..S f(2x)=2x 12x+1[as, f(x)=x 1x+1] R.H.S 2f(x)+1f(x)+3=3(x 1x+1)+1x 1x+1+3 2f(x)+1 f(x)+ ...

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Definition of Functions

If fx = x -...

Question

If $f (x) = \frac{(x - 1)}{(x + 1)}$ then prove that $f (2 x) = \frac{3 f (x) + 1}{f (x) + 3}$

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If f(x)=x-1/x+1 than proved that f(2x)=3f(x)+1/f(x)+3

f (x) = \frac{x - 1}{x + 1}

f (2 x) = \frac{3 f (x) + 1}{f (x) + 3}

f (x) = \frac{x - 1}{x + 1}; x \neq - 1 t h e n f (2 x) =

If $f (x) = l o g (\frac{1 + x}{1 - x})$ , then $f (\frac{2 x}{1 + x^{2}})$ is equal to

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[f (x)]^{3} = f (x^{3}) + 3 f (\frac{1}{x})

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