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Let A and B be any two sets such that n(...

Let A and B be any two sets such that n(B)=P, n(A)=q then the total number of functions f:` A -> B` is equal to

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Write of the domain and range of f(x)=sqrt(x-[x])dot

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  2. Write the domain and range of function f(x) given by f(x)=sqrt([x]-x).

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  3. Let A and B be any two sets such that n(B)=P, n(A)=q then the total nu...

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  4. Let f a n d g be two functions given by f={(2,4), (5,6), (8,-1), (10 ,...

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

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  6. Let f\ a n d\ g be two real function given by f={(0,1),\ (2,0),\ (3,-4...

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  7. Let A=[1,2,3],\ B=[2,3,4],\ then which of the following is a function...

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  8. If f: Q->Q is defined as f(x)=x^2,\ t h e n\ f^(-1)(9) is equal to a.3...

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  9. Which one of the following is not a function? {(x , y): x , y in R , ...

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  10. 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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  11. 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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  12. The range of F(X) = Cos [X], Where − π/ 2 < X < π/ 2 . is

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  13. Which of the following are function: {(x , y): y^2=x , x , y in R} b...

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

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  15. 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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  16. If f(x)=cos((log)e x),\ t h e n\ f(1/x)f(1/y)-1/2{f(x y)+f(x/y)} is eq...

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  17. Let A={x in R : x!=0,\ -4lt=xlt=4} and f: A->R be defined by f(x)=(|x...

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  18. Let f(x)=x,g(x)=1/x and h(x)=f(x)g(x) . Then h(x)=1 for a.x in R b. x...

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

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  20. If f: RvecR and g: RvecR are defined by f(x)=2x+3a n dg(x)=x^2+7, then...

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