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Let f: R->R whre R^+ is the set of all p...

Let `f: R->R` whre `R^+` is the set of all positive real numbers, be such that `f(x)=(log)_e xdot` Determine: whether `f(x y)=f(x)+f(y)` holds.

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Let f: R^+ -> R where R^+ is the set of all positive real numbers, be ...

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  2. Let f: R->R whre R^+ is the set of all positive real numbers, be such ...

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  3. Let f: R->R whre R^+ is the set of all positive real numbers, be such ...

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  4. Write the following relations as sets of ordered pairs and find which ...

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  5. Write the following relations as sets of ordered pairs and find which ...

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  6. Write the following relations as sets of ordered pairs and find which ...

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  7. If f,g,\ h are three functions defined from R\ to\ R as follows: Find ...

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

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

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

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

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

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

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

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

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

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

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

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

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