Let f (x) be a continuous function defined for x-> [1,3]. If f(x) takes rational values for all x and f(2) = 10 then f(1.5)=

pls explain in detail ????

Hi Moidin,
See the value of f(1.5)=10 because its a constant function.
Because of closure property of irrational no. Any function will generate irrational on real line until its a constant function.

Thanks & Regards

Arun Kumar

IIT Delhi

Askiitians Faculty

Approved