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State whether the function f:NrarrN defi...

State whether the function `f:NrarrN` defined by f(x)=5x is injective, surjective or both.

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SHARAM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. If the fuction f:RrarrR defined by f(x)=3x-4 is invertible, then find ...

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  2. If f:R to R defined by f(x)=(3x+5)/(2) is an invertible function, then...

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  3. State whether the function f:NrarrN defined by f(x)=5x is injective, s...

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  4. If f(x)=x^3 and g(x)=x^(1/3). Then find gof(x):

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  5. If R be a relation from the set A to the set B, then-

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  6. If A={1, 2, 3, 4, 5} then the relation R={(1,1), (2, 2), (3, 3), (4, 4...

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  7. If A be non-empty set of children in a family then the relation "a is ...

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  8. If a set A has n elements and another set B has m elements, what is th...

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  9. If R be a relation on a finite set A having n elements, then the numbe...

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  10. If R be the largest equivalence relation on a set A and S is any relat...

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  11. If n(A)=4 and n(B)=6 then the number of one-one function from A to B i...

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  12. If f(x)=cos loge^x then f(x)*f(y)-1/2[f(xy)+f(x/y)]=

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  13. If the mapping is f:RrarrR given by f(x)=4x^3-12x then image of the in...

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  14. If f(x)=(a-x^n)^(1/n) where a>0 and ninNthen fof(x) is equal to-

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  15. If f:RrarrR be a function defined by f(x)=cos(5x+2), then f is

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  16. Sets A and B have respectively m and n elements. The total number of ...

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  17. The total number one-one function from a finite set with m elements to...

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  18. The number of bijective function from a set A to itself when A contain...

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  19. Show that the two sets {1, 2, 3,…….} and {3, 4, 5, ……..} are equivalen...

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  20. Find the domain of the functions:f(x)=log((12)/(x^2-x)) and f(x)=cos^(...

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