Home
Class 11
MATHS
If f(x) = (a-x^n)^(1/n) then fof(x) is ...

If `f(x) = (a-x^n)^(1/n)` then `fof(x)` is (A) x (B) a-x (C) `x^2` (D) `-1/x^n`

A

a

B

x

C

`x^(n)`

D

`a^(n)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=(k-x^n )^(1/n) then fof(x) is

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

If int(dx)/(x^(2)(x^(n)+1)^((n-1)/(n)))=-(f(x))^((1)/(n))+C then f(x) is (A)1+x^(n)(B)1+x^(-n)(C)x^(n)+x^(-n)(D)x^(n)-x^(-n)

If f(x)=((x^(l))/(x^(m)))^(l+m)((x^(m))/(x^(n)))^(m+n)((x^(n))/(x^(l)))^(n+l) then f'(x) is equal to (a) 1 (b) 0 (c) x^(l+m+n) (d) none of these

If ((1 +i)/(1 -i))^(x) =1 , then (A) x=2n+1 (B) x=4n (C) x=2n (D) x=4n+1, n in N.

If |x|lt1 then coeficient oif x^n in expression of (1+x+x^2+x^2+……)^2 is (A) n (B) n-1 (C) n+2 (D) n+1

f:N to N, where f(x)=x-(-1)^(x) , Then f is

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