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H-7.Let'f' be a real valued function def...

H-7.Let'f' be a real valued function defined for all real numbers x such that for some positive constant 'a' theequation f(x+a)= 2 1 ​ + f(x)−(f(x)) 2 holds for all x. Prove that the function f is periodic.

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`(9x^2-64)/(x-1-(1/(1-(x/(4+x))))`
`=((3x)^2-(8)^2)/(x-1-(1/((4+x-x)/(4+x)))`
`=((3x+8)(3x-8))/(x-1-((4+x)/4)`
`=((3x+8)(3x-8))/((4x-4-4-x)/4)`
`=4(3x+8)=12x+32`
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