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Let A = {-1,0,1,2}, B = {-4,-2,0,2} and ...

Let `A = {-1,0,1,2}, B = {-4,-2,0,2} and f , g : A rarr B` be functions defined `f(x) = x^(2)-x, x inR and g(x) = 2 |x-(1)/2|-1,x inR`. Are f and g equal ? Justify your answer.
(Hint : One may note that two functions f : `A rarr B and g : A rarr B ` such that f (a) = g(a) `A a inA,` are called equal functions).

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The correct Answer is:
f and g are equal function.
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -MISCELLANEOUS EXERCISE - 1
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  9. Given a non - empty set, X , consider the binary operation ** : P(X) x...

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  10. Find the number of all onto functions from the set {1,2,3,.......,n} t...

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

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

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  13. Consider the binary operations ** R xx R rarrR and o : RxxR rarrR defi...

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  15. Define a binary operation ** on the set {0,1,2,3,4,5} as a**b={{:(a+b"...

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  16. Let A = {-1,0,1,2}, B = {-4,-2,0,2} and f , g : A rarr B be functions ...

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

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  19. Let f : R rarr R be the Signum Function defined as f(x) = {(1,xgt0),(...

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  20. Number of binary operations on the set {a,b} are

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