Question

If f(x) be a continuous function defined for $1\le x\le 3,f\left(x\right)ϵQ\forall xϵ[1,3],f\left(2\right)=10$, (where Q a set of all rational numbers) then f(1.8) is

• A. 1
• B. 5
• C. 10
• D. 20

Answer 1

The correct option is C 10

$f\left(x\right)$ = Continuous function & it taxes only $\theta$

for $1\le x\le 3$ $f\left(x\right)$ must be constant

$f\left(x\right)$ is constant $\forall x\in \left[1,3\right]$

$f\left(2\right)=1.8=10$