Let $f(x)$ be a continuous function defined for $1 \leq x \leq 3$. If $f(x)$ takes rational values f

Question

Let $f(x)$ be a continuous function defined for $1 \leq x \leq 3$. If $f(x)$ takes rational values for all $x$ and $f(2)=10$ then $f(1.5)=$

Professor PC Thomas Classes · Answer

$f(x)$ is continuous function $1 \leq x \leq 3$. Also $f(x)$ takes only rational values for all given $x$, so $f(x)$ is constant function.\ Given $\quad f(2)=10$\ $	herefore \quad f(1.5)=10$\