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State with reasons whether h :{2,\ 3,\...

State with reasons whether `h :{2,\ 3,\ 4,\ 5}->{7,\ 9,\ 11 ,\ 13}` with `h={(2,\ 7),\ (3,\ 9),\ (4,\ 11),\ (5,\ 13)}`have inverse or not

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State with reason whether following functions have inverse (i) f:{1,2,3,4} ->{10} " with " f={(1, 10),(2, 10),(3, 10),(4, 10)} (ii) g:{5, 6, 7, 8}->{1,2,3,4}" with "g={(5, 4),(6, 3),(7, 4),(8, 2)} (iii) h : {2, 3, 4, 5} → {7, 9, 11, 13}" with "h = {(2, 7), (3, 9), (4, 11), (5, 13)}

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. State with reason whether following functions have inverse (i) f:{1,2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If f: Q->Q ,\ \ g: Q->Q are two functions defined by f(x)=2x and g(x)=...

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  16. Let A=R-{3}a n dB=R-{1}dot Consider the function f: Avec defined by f(...

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

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  18. Let f: Nvec be a function defined as f(x)=9x^2+6x-5. Show that f: Nvec...

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  19. If f: Rvec(-1,1) defined by f(x)=(10^x-10^(-x))/(10^x+10^(-x)) is inve...

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  20. If f: R->(0,\ 2) defined by f(x)=(e^x-e^(-x))/(e^x+e^(-x))+1 is invert...

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