If f: R rarr R , f(f(x)) = (f(x))^(2) , ...

If `f: R rarr R , f(f(x)) = (f(x))^(2) `, then f(f(f(x) ))is equal to

A

a) `(f(x^4))^(2)`

B

b) `(f(x))^(4)`

C

c) `(f(x^2))^(2)`

D

d) `f(x^(4))`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If intxf(x)dx=(f(x))/2 , then f(x) is equal to :

If f : R rarr R be given by f(x) = (3 - x^3)^(1/3) , then (f o f) (x) is

If f (x) = (x +2)/( 3x -1) , then f {f (x) } is

If f:RrarrR is defined by f(x) = x^2-3x+2 , find f(f(x))

If f:R rarr R , f(x)=x+3. Then find fof(1)

If f :R rarr R is defined by f(x)=x^2-3 x+2 , find f(f(x)) . Also evaluate f(f(5))

If f : R to R is defined by f (x) = x ^(2) - 6x - 14, then f ^(-1) (2) equals to : a) {2,8} b) {-2,8} c) {-2,-8} d) {2,-8}