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The value of parameter alpha, for which ...

The value of parameter `alpha`, for which the function `f(x) = 1+alpha x, alpha!=0` is the inverse of itself

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Let f: R vec be defined as f(x)=10 x+7. Find the function g: RvecR su...

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  2. If the function f:[1,oo)->[1,oo) is defined by f(x)=2^(x(x-1)), then ...

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  3. The value of parameter alpha, for which the function f(x) = 1+alpha x,...

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  4. Let f"":""NvecY be a function defined as f""(x)""=""4x""+""3 , wher...

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  5. Let Y = {n^2: n in N} in N. Consider f : N ->Yas f(n)=n^2. Show tha...

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  6. Let f : N ->Rbe a function defined as f(x)=4x^2+12 x+15. Show that f ...

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  7. State with reason whether following functions have inverse (i) f:{1,2...

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  8. State with reason whether following functions have inverse (i) f:{1,2...

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  9. State with reasons whether h :{2,\ 3,\ 4,\ 5}->{7,\ 9,\ 11 ,\ 13} wi...

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  10. Find f^(-1) if it exists: f: A->B where A={0,\ -1,\ -3,\ 2}; B= {-9,\ ...

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  11. Find f^(-1) if it exists: f: A->B where A={1,\ 3,\ 5,\ 7,\ 9}; B= {0,\...

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  12. Consider f:{1,\ 2,\ 3}->{a ,\ b ,\ c} and g:{a ,\ b ,\ c}-> {apple, ba...

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  13. Let A={1,2,\ 3,\ 4};\ B={3,\ 5,\ 7,\ 9}; C={7,\ 23 ,\ 47 ,\ 79} and f:...

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  14. Show that the function f: Q->Q defined by f(x)=3x+5 is invertible. Als...

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  15. Consider f: R->Rgiven by f(x) = 4x + 3. Show that f is invertible. Fin...

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  16. Consider f\ : R+vec[4,oo) given by f(x)=x^2+4 . Show that f is inve...

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  17. If f(x)=(4x+3)/(6x-4),\ x\ !=2/3, show that fof(x)=x for all x!=2/3dot...

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  18. Consider f: R+->[-5,oo)given by f(x)=9x^2+6x-5. Show that f is inverti...

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  19. If f: R->R be defined by f(x)=x^3-3 , then prove that f^(-1) exists an...

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  20. A function f: R->R is defined as f(x)=x^3+4 . Is it a bijection or not...

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