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Show that f: [-1, 1] ->R, given by f(x)=...

Show that `f: [-1, 1] ->R`, given by `f(x)=x/((x+2)`is one- one . Find the inverse of the function `f: [-1, 1]`

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Show that the function f: R ->R is given by f(x)=1+x^2 is not invertib...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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