If `f(x)` is a continuous function in `[2,3]` which takes only irrational values for all `x in[2,3]` and `f(2.5)=sqrt(5)` ,then `f(2.8)=`

Let f(x) be a continuous function defined on [1, 3] . If f(x) takes only rational values for all x and f(2)=10 , then f(2.5)=

Let f(x) be a continuous function defined for 0lexle3 , if f(x) takes irrational values for all x and f(1)=sqrt(2) , then evaluate f(1.5).f(2.5) .

Let f(x) be a continuous function defined for 2020 <= x <= 2022 .If f(x) takes irrational values for all x in domain and f(2020)=pi , then the value of sin(f(2021)) is

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 :

If f(x):[1,10]rarr Q be a continuous function. If f(x) takes rational value for all x and f(2)=5, then the equation whose roots are f(3) and f(sqrt(10)) is

Let f(x) is a continuous function which takes positive values for x>=0 and satisfy int_(0)^(x)f(t)dt=x sqrt(f(x)) with f(1)=1/2. Find the value of f(sqrt(2)+1)

If f(x) is a continuous function and attains only rational values and f(0)=3, then roots of equation f(1)x^(2)+f(3)x+f(5)=0 as

Let f(x) be a continuous function which takes positive values for xge0 and satisfy int_(0)^(x)f(t)dt=x sqrt(f(x)) with f(1)=1/2 . Then

Let f:[-2, 2]rarrR be a continuous function such that f(x) assumes only irrationlal values. If f(sqrt2)=sqrt2 . Then