Home
Class 12
MATHS
If a function f satisfies f{f (x)}=x+1 f...

If a function f satisfies `f{f (x)}=x+1` for all real values of x and if `f(0)=1/2` then f(1) is equal to a)`1/2` b)1 c)`3/2` d)2

A

`1/2`

B

1

C

`3/2`

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f: rarr satisfy f(x)f(y)=f(xy) for all real numbers x and y. If f(2)=4, then f((1)/(2)) = - a) 0 b)1/4 c)1/2 d)1

If f(x)=2x^(2)+bx+c and f(0)=3 and f(2)=1 , then f(1) is equal to a)1 b)2 c)0 d) 1/2

If f(x) = |x-2| + |x+1| - x , then f'(-10) is equal to a)-3 b)-2 c)-1 d)0

Let f: f (-x) rarr f(x) be a differentiable function. If f is even, then f'(0) is equal to a)1 b)2 c)0 d)-1

If f(x)= (x+1)/(x-1) then the value of f(f(x)) is equal to a)x b)0 c)-x d)1

Let R be the set of all real numbers. If , f : R to R be a function such that |f (x) - f (y) | ^(2) le | x -y| ^(3), AA x, y in R, then f'(x) is equal to a)f (x) b)1 c)0 d) x ^(2)

The function f, g and h satisfy the relations f'(x)=g(x+1)andg'(x)=h(x-1) . Then, f''(2x) is equal to

The functions f satisfies the functional equations 3f (x) + 2f ((x+59)/(x-1)) =10 x + 30 for all real x ne 1 . The value of f (7) is : a)8 b)4 c)-8 d)11

For all rest numbers x and y, it is known as the real valued function f satisfies f (x) + f (y) = f (x + y). If f(1) = 7, then Sigma_(r=1 )^(100) f(r ) is equal to