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If A={1,2,3},\ B={x , y} , then the numb...

If `A={1,2,3},\ B={x , y}` , then the number of functions that can be defined from A into B is `12` b. `8` c. `6` d. 3

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To find the number of functions that can be defined from set A to set B, we can use the formula for the number of functions from a set with m elements to a set with n elements, which is given by: \[ n^m \] Where: - \( n \) is the number of elements in the codomain (set B) ...
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RD SHARMA-FUNCTIONS-Solved Examples And Exercises
  1. Let A and B be any two sets such that n(B)=P, n(A)=q then the total nu...

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  2. Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x ...

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  3. If f(x)="cos"((log)e x),t h e nf(x)f(y)-1/2[f(x/y)+f(x y)] has value ...

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  4. Let f(x)=|x-1|dot Then (a)f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c)f(...

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  5. If A={1,2,3},\ B={x , y} , then the number of functions that can be de...

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  6. If x!=1\ a n d\ f(x)=(x+1)/(x-1) is a real function, then f(f(f(2))) ...

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  7. If f: R->R : x!=0,\ -4lt=xlt=4 and f: A->A be defined by f(x)=(|x|)/x ...

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  8. If f: RrarrR and g: RrarrR are defined by f(x)=2x+3a n dg(x)=x^2+7, th...

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  9. If f: [-2, 2] -> R is defined by f(x)={-1,for -2<=x<=0 , then x...

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  10. If f(x)=64x^3+1/x^3 and alpha,beta are the roots of 4x+1/x=3. Then,f(a...

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  11. The domain of the function f(x)=sqrt(2-2x-x^2) is [-sqrt(3),\ sqrt(3)...

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  12. The domain of the function f(x)=sqrt[((x+1)(x-3))/(x-2)] is [-1,2)uu[3...

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  13. The domain of the function f(x)=sqrt(((x+1)(x-3))/(x-2)) is [-1,2)uu[3...

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  14. The domain of definition of the function f(x)=sqrt(x-1)+sqrt(3-x) is [...

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  15. The domain of definition of the function f(x)=sqrt((x-2)/(x+2))+sqrt((...

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  16. The domain of definition of the function f(x)="log"|x| is R b. (-oo...

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  17. The domain of definition of f(x)=sqrt[x-3-2sqrt(x-4)]-sqrt[x-3+2sqrt(x...

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  18. The domain of the function f(x)=sqrt(5|x|-x^2-6) is (a) (-3,\ -2)uu(...

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  19. The range of the function f(x)=(x+2)/(|x+2|),\ x!=-2

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  20. The range of the function f(x)=x/(|x|) is R-{0} b. R-{-1,1} c. {-1,1}...

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