givenf(x)=2x-x^2to find f(x+1)
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f(x) = 2x - x^2
f(x+1) = 2(x+1) - (x+1)^2
= 2x + 2 - ( x^2 + 1 + 2(x)(1))
= 2x + 2 - x^2 - 1 - 2x
= 1 - x^2
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