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If f (x) = (a-x^n)^(1//n) prove that f(f...

If `f (x) `= `(a-x^n)^(1//n)` prove that `f(f(x)) = x`

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. If f = (5,2),(6,3), g = (2,5),(3,6), write fog.

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  2. Let f : R rarr R be defined by f (x) = x^2 - 3x + 4 for all x in R , ...

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  3. If f (x) = (a-x^n)^(1//n) prove that f(f(x)) = x

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  4. If f(X) =(ax-b)/(bx-a), show that f(f(x)) = x

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  5. If f(x) = (1)/(1-x), show that f(f(x)) = x

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

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  7. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3...

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  8. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3...

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  9. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1...

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  10. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1...

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  11. Let f(X) = 3-4 x for all xin R. Find g : R rarr R such that gof = 1R=f...

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  12. Let f : R rarr R be defined as f(x) = 7x - 3. Find the function g: R ...

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  13. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

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  14. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

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  15. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

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  16. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

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  17. If f(x) = sin x and g (X) = 3x. Describe gof and fog. Are these functi...

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  18. If f(x) = sin x and g (X) = 3x. Describe fog. Are these functions equa...

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  19. If f(x) = 2x + 3 and g (X) = x^2 + 1, describe the functions fog Also...

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  20. If f(x) = 2x + 3 and g (X) = x^2 + 1, describe the functions gof Also ...

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