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Consider the functions f , g : RR to RR ...

Consider the functions f , g : `RR to RR `defined by `f(x) = x^(2) +5/12 and g(x) ={:{(2(1-(4|x|)/3),|x|le3/4),(0,|x|gt3/4):}` If `alpha ` is the area of the region
`{( x,y in RR xx RR :|x|le 3/4 , 0 le y le "min " {f(x),g(x)}}` , then the value of 9 `alpha ` is _________.

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