Home
Class 12
MATHS
Let f:[-2, 2]rarrR be a continuous funct...

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

A

`f(0)=0`

B

`f(sqrt(2)-1)=sqrt(2)-1`

C

`f(sqrt(2)-1)=sqrt(2)+1`

D

`f(sqrt(2)-1)=sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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) .

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):[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:(-2,2)rarr(-2,2) be a continuous function such that f(x)=f(x^(2))AA in d_(f), and f(0)=(1)/(2), then the value of 4f((1)/(4)) is equal to

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)) = ……