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Let g (x) = int(0)^(x) f(t) dt , where f...

Let `g (x) = int_(0)^(x) f(t) dt` , where f is such that ` (1)/(2) le f (t) le 1` for ` tin [0,1] and 0 le f (t) le (1)/(2) ` for ` t in [1 ,2]`. then . `g (2)` satisfies the inequality

A

`-(3)/(2) le g (2) lt (1)/(2)`

B

`0 le g (2) lt 2`

C

`(1)/(2) lt g [2] le (3)/(2)`

D

`2 lt g [2] lt 4`

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