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State with reason whether following func...

State with reason whether following functions have inverse :
`f : {1,2,3,4} rarr {10}` with `f: {(1,10),(2,10),(3,10),(4,10)}`

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The correct Answer is:
The function f has no inverse
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -EXERCISE 1.3
  1. Find gof and fog , if f(x) = 8x^(3) and g(x) =x^(1/3)

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

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  3. State with reason whether following functions have inverse : f : {1,...

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  4. State with reason whether following functions have inverse : g:{5,6,...

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  5. State with reason whether following functions have inverse : h: {2,3...

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  6. Show that f : [-1,1] rarr R , given by f(x) = (x)/(x+2) is one - one ....

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  7. Consider f : R rarr R given by f(x) = 4x +3. Show that f is invertibl...

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  8. Consider f: R ^+ to [4 ,oo] given by f(x) =x^2 + 4 show th...

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

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  10. Let f :X rarr Y be an invertible function . Show that f has unique inv...

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  11. Consider f : {1,2,3} rarr {a,b,c} given by f(1) = a, f(2) and f(3) = ...

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  12. Let f : X rarr Y be an invertible function . Show that the inverse of ...

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  13. If f : R rarr R be given by f(x) = (3-x^(3))^(1/3) then fof (x) is

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  14. Let f: R -{-4/3}rarrR be a function defined as f(x) =(4x)/(3x+4) . Th...

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  15. Determine whether or not each of the definition of ** given below give...

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  16. Determine whether or not each of the definition of ** given below give...

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  17. Determine whether or not each of the definition of ** given below give...

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  18. Determine whether or not each of the definition of ** given below give...

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  19. Determine whether or not each of the definition of ** given below give...

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  20. For each opertion ** difined below, determine whether ** isw binary, c...

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