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Let X={1,2,3,4}a n d\ Y={1,5,9, 11 , 15 ...

Let `X={1,2,3,4}a n d\ Y={1,5,9, 11 , 15 , 16}` Determine which of the following sets are functions from `X\ to\ Y` `f_2={(1,1),\ (2,7),\ (3,5)}` and `f_3={(1,5),(2,9), (3,1), (4,5),(2,11)}`

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. If f,g,\ h are three functions defined from R\ to\ R as follows: the r...

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  2. Let X={1,2,3,4}a n d\ Y={1,5,9, 11 , 15 , 16} Determine which of the ...

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  3. Let X={1,2,3,4}a n d\ Y={1,5,9, 11 , 15 , 16} Determine which of the ...

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  4. Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11 , 15 , 16}andf = {(1, 5), (2, 9...

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  5. If f:R->R be defined by f(x)=x^2+1, then find f^(-1)(17) and f^(-1)(-3...

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  6. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

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  7. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

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  8. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

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  9. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

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  10. Let A = {9, 10 , 11 , 12 , 13}and let f : A ->Nbe defined by f(n) = th...

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  11. The relation f is defined by f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10The rel...

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  12. If f(x)=x^2, find (f(1. 1)-f(1))/((1. 1-1))

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  13. If f(x)=3x^4-5x^2+9, find f(x-1) .

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  14. If f(x)=1/(2x+1),\ x!=-1/2,\ then show that f(f(x))=(2x+1)/(2x+3) , p...

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  15. If f(x) = x^2 - 3x + 4, then find the values of x satisfying the equat...

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  16. If f(x)=(x-a)^2(x-b)^2, find f(a+b)

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  17. If f(x)=(x+1)/(x-1) , show that f{f(x)}=xdot

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  18. If f(x)= {(x^2,"when" ,xlt0),( x ," when", 0lexlt1),( 1/x ," when", ...

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  19. If f(x)=(2x)/(1+x^2)\ , show that f(tantheta)=sin2theta)

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  20. Find the domain of each of the following real valued function: f(x)=1/...

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