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If f(x)=(x-1)/(x+1) then show that f(1/x...

If `f(x)=(x-1)/(x+1)` then show that `f(1/x)=-f(x)` and `f(-1/x)=(-1)/f(x)`

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MAHAVEER PUBLICATION-FUNCTION-QUESTION BANK
  1. Iff:R rarr R is defined by f(x)=x/(x^2+1) find f(f(2))

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

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  3. If f(x)=(x-1)/(x+1) then show that f(1/x)=-f(x) and f(-1/x)=(-1)/f(x)

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  4. If f(x)=x^2 -3x +1 find x in R such that f(2x)=f(x).

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  5. Iff(x)=x^2-3x+1 find x in R such that f(2x)=2f(x)

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  6. Determine whether the functions are even or odd f(x)=abs(-x)

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  7. Determine whether the functions are even or odd f(x)=abs(x-2)

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  8. Determine whether the functions are even or odd if f(x)=x^2+kx+1 for a...

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  9. Let f : N to N : f (x) =2x, g : N to N : g (y) = 3y+ 4 and h : ...

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  10. Find gof and fog if f(x)=absx and g(x)=abs(3-2x)

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  11. Find gof and fog if f(x)=8x^3 and g(x)=x^(1/3)

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  12. What is the maximum number of points in which a vertical line can meet...

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  13. Fid the domain for which the functions f(x)=2x^2-1a n dg(x)=1-3x are e...

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  14. Write the range of the function f(x)=-x^2, x in R

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  15. Write the domain and range of the signum function,

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  16. Is the function f(x)=x^(3n), n in N even?

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  17. Write the range of the function f(x)=x^2+1 ,x in R

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  18. Write the domain and range of the function f(x)=[x]

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  19. If f(x)=4x-x^2 then find f(a+1)-f(a-1)

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  20. If A and B are finite sets with n(A) =3 and N(B)=6 then find n(AxxB)

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