If f(x)=(a-x^(n))^(1//n) where a gt 0 an...

If `f(x)=(a-x^(n))^(1//n)` where `a gt 0` and `n in N` , then `f[f(x)]` is equal to :

A

`x^3`

B

` x^2`

C

`x`

D

None of these

Verified by Experts

The correct Answer is:

C

FUNCTIONS
ML KHANNA|Exercise COMPREHENSION|3 Videos
EXPONENTIAL AND LOGARITHMIC SERIES
ML KHANNA|Exercise Problem Set (2) (Self Assessment Test)|8 Videos
HEIGHTS AND DISTANCES
ML KHANNA|Exercise Problem Set (3) FILL IN THE BLANKS|9 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(a-n^(n))^(1//n) where a gt 0 and n in N , then f[f(x)] is equal to :

If f(x)=(a-x^(n))^(1//n),"where a "gt 0" and "n in N , then fof (x) is equal to

If f(x)=(p-x^(n))^((1)/(n)),p>0 and n is a positive integer then f[f(x)] is equal to

If f(x)=(a-x^n)^(1/n) then find f(f(x))

If f(x)=(a-x^(n))^((1)/(n)),a>0 and n in N, then prove that f(f(x))=x for all x.

if f(x)=(a-x^(n))^((1)/(n)), where a>0 and n is a positive integer,then f(f(x))=(i)x^(3)( ii) x^(2)( iii) x( iv )-x

Suppose a gt 0 and n in N is odd. Let f : R to R be defined by f(x) = (a-x^(n))^(1//n) , then f(f(x)) is equal to: