Let f(x) be a continuous function defined for .If f(x) takes rational values for all x and f(2)=10.Then find the value of f(1.5).

Here we shd remember that there always lies irrational no.s between any two rational no.s.So,since f(x) is a continuous function and if f(1.5)=k where k is a rational no.,then f(x) shd take all values between k and 10 which includes irrational no.s too.So,f(x) must be a constant function.Hence,f(1.5)=f(2)=10.

that's correct

ANS: f(1.5)=10