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

Show that `f:[-1,1]toR` given by
`f(x)=frac(x)(x+2)` is one-one.

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MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Consider the set A={1,2,3,4,5}, and B={1,4,9,16,25} and a function f:A...

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  2. When a relation R on a set A is said to be reflexive

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  3. Show that f:[-1,1]toR given by f(x)=frac(x)(x+2) is one-one.

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  4. The function f:NtoN given by f(x)=2x

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  5. Find gof(x), if f(x)=8x^3 and g(x)=x^(1/3)

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  6. Let ast be an operation such that aastb=LCM of a and b defined on the ...

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  7. f:{1,2,3,4}to{5} defined by f={(1,5),(2,5),(3,5),(4,5)}. Does the ...

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  8. A=R-{7/5},B=R-{3/5} f:AtoB defined by f(x)=frac(3x+4)(5x-7) g:BtoA...

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  9. Let A=NtimesN, N-set of natural numbers and 'ast' be a binary operatio...

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  10. Let N be the set of Natural numbers. Consider the function f:NtoN defi...

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  11. Let N be the set of Natural numbers. Consider the function f:NtoN defi...

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  12. Let N be the set of Natural numbers. Consider the function f:NtoN defi...

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  13. Give a relation on a set A={1,2,3,4} which is reflexive, symmetric and...

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  14. Show that f:[-1,1]toR given by f(x)=frac(x)(x+2) is one-one.

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  15. Let 'ast' be a binary operation on Q^+ defined by 'aastb=frac(ab)(6)'....

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  16. ast:Rto R given by aastb=3a^2-b Find the value of 2ast3 . Is 'ast' ...

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  17. f:RtoR is defined by f(x)=x^2-3x+2 Find fof(x) and fof(1).

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  18. Consider f:RtoR given by f(x)=5x+2 Show that f is one-one.

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  19. Consider f:RtoR given by f(x)=5x+2 Is f invertible? Justify your ans...

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  20. Let ast be a binary operation on N defined by aastb=HCF of a and b I...

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