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Let f be continuous function on [2,3]. If f takes only rational values for all x and f(3) = 12 then find the value of f(2.5)

Let f be continuous function on [2,3]. If f takes only rational values for all x and f(3) = 12 then find the value of f(2.5)

Grade:Upto college level

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
7 years ago
Ans:
f is continuous on the [2, 3] & it only take rational value => f is constant on [2, 3].
f (x) = 12 on [2, 3]
f (2.5) = 12
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

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