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

Let `g (x)= int_(0)^(x) f(t) dy=t` , 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) le 1/2`

B

`0 le g (2) le 2`

C

`3/2 le g(2) le 5/2`

D

`2 lt g(2) lt 4`

Text Solution

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The correct Answer is:
B
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