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Let f:{1,2,3} to {a,b,c} be one-one and ...

Let `f:{1,2,3} to {a,b,c}` be one-one and onto function given by `f (1) =a, f (2) =b and f (3) =c.` Show that there exists a function `g : {a,b,c} to {1,2,3}` such that gof `=I _(x) and ` fog `=I _(y),` where, `X = {1,2,3} and Y={a,b,c}.`

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NCERT TELUGU-RELATIONS AND FUNCTIONS -MISCLELLANEOUS EXERCISE ON CHAPTER 1
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  9. Given a non empty set X, consider P (X) which is the set of all subset...

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  10. Find the number of all onto functins from the set {1,2,3..,n} to itsel...

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  11. Let S = {a,b,c} and T ={1,2,3}. Find F ^(-1) of the following F from S...

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  12. Consider the binary opertions **: R xx R to R and o : R xx R to R defi...

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  13. Given a non-empty set X, let **: P(X) xx P (X) to P (X) be defined as ...

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  14. If A = {0,1,2,3,4,5} Define a binary operation * on A as a*b = {{:(a+b...

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  15. Let A = {-1,0,1,2},B= {-4,-2,0,2}and f , g , A to B be functions defin...

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  16. Let A = {1,2,3}. Then number of relations containing (1,2) and (1,3) w...

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  17. Let A = {1,2,3}. Then number of equivalence relations containing (1,2)...

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  18. Let f : R to R be the Signumb Function defined as f (x) = {{:(1",",...

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  19. Number of binary opertions on the set {a,b} are

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