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Show that the function f: R ->R is given...

Show that the function `f: R ->R` is given by `f(x)=1+x^2` is not invertible.

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Let f: Nuu{0}->Nuu{0} be defined by f(n)={n+1,\ if\ n\ i s\ even\,\ \ ...

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  2. Prove that the function f: R->R defined as f(x)=2x-3 is invertible....

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  3. Show that the function f: R ->R is given by f(x)=1+x^2 is not invertib...

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  4. Show that f: R-{-1}->R-{1} given by f(x)=x/(x+1) is invertible. Also, ...

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  5. Show that f: [-1, 1] ->R, given by f(x)=x/((x+2)is one- one . Find th...

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  6. Let f: R vec be defined as f(x)=10 x+7. Find the function g: RvecR su...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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