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Show that -a is not the inverse of a i...

Show that -a is not the inverse of `a in N` for the addition operation `'+'` on N and `1/a` is not the inverse of `a in N` for multiplication operation `‘xx’`on N , for `a ne 1`.

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. If R={(x,y):x+2y=8} is a relation on N write the range of R

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  2. If R = (x,y) , xy = 12 is a relation on N, write the domain of R.

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  3. Show that -a is not the inverse of a in N for the addition operati...

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  4. Let R be a relation from a set A to a set B, then:

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  5. What is the set builder form of the set {1,2,3}.

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  6. The number of relations that can be defined on the set {x,y,z} is:

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  7. A vertical line meets the graph of a function in:

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  8. If f = (1.4), (2,5), (3,5) and g = (4,6),(5,6) be two function then fi...

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  9. The number of bijective functions from the set A to itsef, if A contai...

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  10. What is the domain of the function f(X) = (1)/(x-1)?

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  11. if 'f' is the function form R to R defined by the rule f(x) = x^2 - 3 ...

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  12. Consider the function f(x) = x^2 defined on R. find the set f^-1 (1,-1...

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  13. In order that a relation R defined on a non-empty set A is an equivale...

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  14. If f(x) = (x -2)/(x-3), x ne 3, Examine whether f(x) is invertible or ...

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  15. In order that a relation R defined on a non-empty set A is an equivale...

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  16. A vertical line meets the graph of a function in:

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  17. What is the range of the signum function?

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  18. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

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  19. Function f : R rarr R f(x) = 3 x -5 is

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  20. If f(x) = x^2, find (f(1.1)-f(1))/((1.1-1)).

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