Continuity of function defined differently for rational and irrational value of x

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 0lexle3 , if f(x) takes irrational values for all x and f(1)=sqrt(2) , then evaluate f(1.5).f(2.5) .

Write the difference of an irrational and a rational number.

Write the differences between rational and irrational numbers.

The sum/difference of a rational and an irrational number is _______ .

The function f(x)={0,x is irrational and 1,x is rational,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 :

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 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 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 :