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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^(n)`

B

`sqrt(x^(4)-1)`

C

0

D

none of these

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The correct Answer is:
D
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ARIHANT SSC-FUNCTIONS AND GRAPH-INTRODUCTORY EXERCISE - 17.2
  1. The two roots of the equation f(x)=f((x+8)/(x-1)) are :

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  2. If the functions f, g, h are defined from 'R' to 'R' by f(x)=x^(2)-1, ...

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  3. If f(x)=(a-x^(n))^(1//n) where a gt 0 and n in N , then f[f(x)] is equ...

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  4. If f(x)=((x-1)/(x+1)), then f(f(ax)) in terms of f(x) is equal to:

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  5. If f(x)=(x)/(sqrt(1+x^(2))), then fofof(x) is equal to:

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  6. If f(x)={{:(1+|x|,,,xlt-1),([x],,,xge-1):} Also, [.] is greatest inte...

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  7. If f(x)=x^(n), n in N and (gof)(x)=ng(x), then g(x) can be :

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  8. Let f:Nrarr R,f(x)=2x-1 g:z rarrR,g(x)=(x^(2))/(2), then (gof)(0) is...

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  9. Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)),(xne0), then f(x) is equal to :

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  10. Let f(x)=sqrt(x^(5)), then f(5x) is equal to :

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  11. If f(x)=4x-5,g(x)=x^(2) and h(x)=(1)/(x), then f(g(h(x))) is :

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  12. If [x] denotes greatest integer function less than or equal to x and {...

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  13. If the graph of the function f(x)=(a^(x)-1)/(x^(n)(a^(x)+1)) is symmet...

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  14. f(x)=ln(x+sqrt(x^(2)+1)) is :

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  15. If a function f satisfies the conditions f(x+y)=f(x)+f(y)AA, x,y in R,...

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  16. Which of the following function is an even function?

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  17. Which of the following function is odd ?

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  18. Which of the following function is even function?

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  19. If f(x)=root(3)((1-x^(2)))+root(3)((1+x^(2))), then f(x) is :

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  20. Which of the following function is an odd function?

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