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Let f:[4,oo)to[1,oo) defined by f(x)=2^...

Let `f:[4,oo)to[1,oo)` defined by `f(x)=2^(x^(2)-4x)`
Let `g:[1,oo)to[4oo)` be another function such that
`f(g(x))=x,AA x epsilon[1,oo)` and `g(f(x)0=x,AAx epsilon[4,oo)` then

A

`g(x)=2+sqrt(4+log_(2)x)`

B

`g(x)=2-sqrt(4+log_(2)x)`

C

`g(2)` is a rational number

D

`g(2)` is an irrational number

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