Question: Determine the eigenvalue of the inversion operator (^if (x)), (i.e. replaces x-> -x), when the eigenfunction is: (a) f(x) = x 3 -kx and (b)

Determine the eigenvalue of the inversion operator (^if (x)), (i.e. replaces x-> -x), when the eigenfunction is: (a) f(x) = x³-kx and (b) f(x) = cos(kx).

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