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For any real number alpha and beta , let...

For any real number `alpha and beta` , let `y_(alpha,beta)(x): alpha,beta in R}` Then which of the following functions belong(s) to the set S ?

A

`f(x)=x^2/2e^-x+(e-1/2)e^-x`

B

`f(x)=-x^2/2e^-x+(e+1/2)e^-x`

C

`f(x)=e^x/2(x-1/2)+(e-e^2/4)e^-x`

D

`f(x)=e^x/2(1/2-x)+(e+e^2/4)e^-x`

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