If f(x):[1,10]rarr Q be a continuous fun...

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

Similar Questions

Explore conceptually related problems

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 :

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 be a function defined and continuous on [2,5] .If f(x) takes rational values for all x and f(4)=8 then the value of f(3.7) is

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) .

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)=

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 defined for AA x in R. if f(x) take rational value AA x in R and f(2)=198, then f(2^(2))=...

Let f(x) be a continuous function defined for AA x in R , if f(x) take rational values AA x in R and f(2) = 198 , then f(2^(2)) = ……

If f(x) is a continuous function such that its value AA x in R is a rational number and f(1)+f(2)=6 , then the value of f(3) is equal to