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Find the identity element of the binary operation `ast` on N defined by `aastb=ab^2`.

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Let Q be the set of Rational numbers and ' ast ' be the binary operation on Q defined by ' aastb=frac(ab)(4) ' for all a,b in Q. What is the identity element of ' ast ' on Q?

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Let A={-1,0,1} Write a binary operation ast on A.

Consider the binary operation ast on the set R of real numbers, defined by aastb=a b /4 Show that ast is commutative and associative.

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Let ast be a binary operation on the set of all real numbers R defined by aastb=a+b+a^2b for a, b R. Find the identity elements in R if exists.

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Let A=NtimesN , N-set of natural numbers and ' ast ' be a binary operation on A defined by (a,b)ast(c,d)=(ac-bd,ad+bc) . Show that ' ast ' is commutative on A.

MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
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  7. If f:RtoR and g:RtoR defined by f(x)=x^2 and g(x)=x+1, then gof(x) is

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  8. Consider the function f:NtoN, given by f(x)=x^3. Show that the functio...

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  9. The given table shows an operation aston A={p,q} (Figure) Is ast a ...

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  10. The given table shows an operation aston A={p,q} (Figure) Is ast co...

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  11. Let R be relation defined on A={1,2,3} by R={(1,3),(3,1),(2,2)} is

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  12. Find fog and gof if f(x)=abs(x+1) and g(x)=2x-1

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  13. Let ast be a binary operation defined on NtimesN by (a,b)ast(c,d)=(a+c...

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  14. If R={(x,y):x,y inZ,x-y inZ}, then the relation R is

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  15. Let ast be a binary operation on the set Q of rational numbers by aast...

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  16. Let f:RtoR,g:RtoR be two one-one functions. Check whether gof is one-o...

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  17. A function f:XtoY is onto if range of f=……….

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  18. Let f:{1,3,4}to{3,4,5} and g:{3,4,5}to{6,8,10} be functions defined by...

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  19. Let Q be the set of Rational numbers and 'ast' be the binary operation...

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  20. Let Q be the set of Rational numbers and 'ast' be the binary operation...

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