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Let g:R rarr R be defined as g(x)=(x^(3...

Let `g:R rarr R ` be defined as `g(x)=(x^(3)+e^(2x)-1)/(2).` If `g(f(x))=x` while `f((e^(4)+7)/(2))=alpha ` ,then find the number of solution(s) of the equation `|x-2|-3|-alpha=0`

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