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

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$\frac{f (1) + f (3)}{3}$

answer is D.

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Detailed Solution

$f (1.5) = f (\frac{3}{2}) = f (2) = 10$

Since $\frac{3}{2}$ is also a rational number.

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