Let fx be a continuous function defined for 1- x- 3- If fx takes rational values for all x and f2-10 then the value of f1-5 is

If f(x) be a continuous function defined for $1 \leq x \leq 3. f (x) ϵ Q \forall x ϵ [1, 3] a n d f (2) = 10$ (Where Q is a set of all rational numbers). Then, f(1.8) is

Q. If f(x) be a continuous function defined for

1 \leq x \leq 3. f (x) ϵ Q \forall x ϵ [1, 3] a n d f (2) = 10

(Where Q is a set of all rational numbers). Then, f(1.8) is

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Let f(x) be a continuous function defined for 1≤x≤3. If f(x) takes rational values for all x and f(2)=10 then the value of f(1.5) is

The correct option is C 10As f(x) be a continuous function defined for 1≤x≤3. Givenf(x) takes only rational values for all values of xf(2)=10So this means that the function is a constant functionf(1.5)=10Hence, option 'B' is correct.

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 the value of $f (1.5)$ is

The correct option is C $10$

As $f (x)$ be a continuous function defined for $1 \leq x \leq 3$ .

Given
$f (x)$ takes only rational values for all values of x
$f (2) = 10$
So this means that the function is a constant function
$f (1.5) = 10$
Hence, option 'B' is correct.