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Let A be a set of n distinct elements. T...

Let `A` be a set of `n` distinct elements. Then find the total number of distinct functions from A to A? How many of them are onto functions?

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The correct Answer is:
`n^(n),n!`
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RESONANCE-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
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  8. Find for what values of x the following functions would be identical. ...

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  9. Let f(x)=x^2+x+1 and g(x)=sinx . Show that fog!=gof .

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  10. Let f(x) = x^2, g(x) = sin x, h(x) =sqrtx, then verify that [fo(goh)] ...

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  11. Find fog and gof if: f(x)=e^(x),g(x)=lnx

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  12. Find fog and gof if: f(x)=|x|,g(x)=sinx

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  13. Find fog and gof if: f(x)=sinx,g(x)=x^(2)

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  14. Find fog and gof if: f(x)=x^(2)+2,g(x)=1-1/(1-x),x!=1

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  15. If f(x) = ln(x^2 - x + 2) ; RR^+ rarr RR and g(x) = {x} + 1; [1, 2] ra...

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  16. If f(x)=[ 1+x^2 ; x<=1 ,x+1; 1< x<=2 and g(x)=1-x ; -2<=x<=1 then de...

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  17. If f(x)=(x+2)/(x+1)and g(x) =(x-2)/x, then find the domain of fog(x)

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  18. If f(x)={(sqrt(2)x,xepsilonQ-{0}),(3x,xepsilonQ^(c)):} then define fof...

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