d) Find the period of real valued function satisfying f(x) + f(x+4)= f(x+2)+f(x+6)

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Dut ( x=x+2 ) ( begin{aligned} f(x+2)+f(x+6)=& 6(x+4)+6(x+8) Rightarrow quad 6(x)+6(x+4)=& 6(x+4)+6(x+8) end{aligned} ) ( begin{aligned} 8 i f(x)=& 6(x+2) text { Period is } 8 & text { . } end{aligned} )

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