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Give an example of a function which is n...

Give an example of a function which is neither injective nor surjective.

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f : `(-1,1) rarr R ,f(x) =x/(1-x^2) `
is neither surjective nor injective.
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MBD PUBLICATION-RELATION AND FUNCTION-QUESTION BANK
  1. Give an example of a function which is Surjective but not injective.

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  2. Give an example of a function which is injective but not surjective.

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  3. Give an example of a function which is neither injective nor surjectiv...

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  4. Give an example of a function which is bijective

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  5. Prove that {1,2,3,4,5,6,……} set are equivalent.

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  6. Prove that the following sets are equivalent {1, 2, 3, 4, 5, 6.....}...

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  7. Prove that the following sets are equivalent {1, 2, 3, 4, 5, 6.....}...

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  8. Prove that the following sets are equivalent {1, 2, 3, 4, 5, 6.....}...

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  9. Let f={(1,a),(2,b),(3,c),(4,d)} and g={(a,x),(b,x),(c,y),(d,x)} Determ...

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  10. Let f= {(1,3),(2,4),(3,7)} and g ={(3,2),(4,3),(7,1)} Determine gof ...

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  11. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2.Find natural domains of f and g.

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  12. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

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  13. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2.Find natural domain of h(x) = 1-...

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  14. Let f(x) = sqrt(x) and g(x) = 1 -x^(2). Show that hgof only on R(0)=...

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  15. Find the composition fog and gof and test whether fog = gof when f and...

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  16. Find the composition fog and gof and test whether fog = gof when f and...

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  17. Find the composition fog and gof and test whether fog = gof when f and...

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  18. Find the composition fog and gof and test whether fog = gof when f and...

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  19. Let f be a real function. Show that h(x) =f(x)=f(-x) is always an even...

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  20. Express each of 1+x+x^2 function as the sum of an even function and an...

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