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Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11 ,...

Let `A = {1, 2, 3, 4}, B = {1, 5, 9, 11 , 15 , 16}`and`f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}`. Are the following true?(i) f is a relation from A to B(ii) f is a function from A to B.Justify y

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`A x B = {(1, 1), (1, 5), (1, 9), (1,11), (1, 15), (1, 16), (2, 1), (2, 5), (2, 9),`
`(2, 11), (2, 15), (2, 16), (3, 1), (3, 5), (3, 9), (3, 11), (3, 15),`
`(3, 16), (4, 1), (4, 5), (4, 9), (4, 11), (4, 15), (4, 16)}`
...
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RD SHARMA-FUNCTIONS-Solved Examples And Exercises
  1. If f,g,\ h are three functions defined from R\ to\ R as follows: Find ...

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  2. If f,g,\ h are three functions defined from R\ to\ R as follows: the r...

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

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

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

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

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

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

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

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

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

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  16. If f(x)=\ {x^2,\ w h e n\ x<0 x ,\ w h e n\ 0lt=x<1 1/x ,\ w h e n\ ...

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

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

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

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  20. Find the domain of each of the following real valued function: f(x)=(2...

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