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Let A = [a(ij)] be a 3 xx 3 matrix, wher...

Let A = `[a_(ij)]` be a `3 xx 3` matrix, where `a_(ij)={{:(1,",",ifi=j),(-x,",",if|i-j|=1),(2x+1,",","otherwise"):}`
Let a function `f : R to R`be defined as f(x) = det (A). Then the sum of maximum and minimum values of f on R is equal to:

A

`-(20)/(27)`

B

`(88)/(27)`

C

`(20)/(27)`

D

`-(88)/(27)`

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