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Let f={(x,x^2/(1+x^2)),x in R} be a real...

Let `f={(x,x^2/(1+x^2)),x in R}` be a real
function from R to R. Determine the domain
and range of f.

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A N EXCEL PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Find the domain and the range of the functions f(x) = x^3

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  2. Let f(x) = x^2 - 2x + 3. Then find f (f (x) )

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  3. If f (x) =1/(1 - x) , show that f(f(f(x))) = x

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  4. Find the domain and range of the function f = {(x, (x^2 -1)/(x - 1)): ...

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  5. If f (x) = x^3 + 1 and g (x) = x + 1, find f + g, f - g, af (a in R),f...

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  6. The relation f is defined by f (x) = {(x^2, 0 le x le 3)/(3x, 3 le x l...

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  7. If f(x)=x^2, find (f(1.1)-f(1))/((1.1-1))

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  8. Find the domain of the following. f(x)=(x^2+2x+1)/(x^2-8x+12)

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  9. Find the domain and range of the following functions. f(x)=sqrt(x-...

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  10. Find the domain and the range of the real function f defined by f (x) ...

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  11. Let f={(x,x^2/(1+x^2)),x in R} be a real function from R to R. Deter...

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  12. Let f,g: R rarr R be defined, respectively by f (x) = x + 1,g (x) = 2...

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  13. Let f = {(1,1), (2,3),(0, -1), (- 1, - 3)} be a function from Z to Z d...

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  14. Let R be a relation from N to N defined by R = {(a,b) in N and a = b^2...

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  15. Let R be a relation from N to N defined by R = {(a,b) in N and a = b^2...

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  16. Let R be a relation from N to N defined by R = {(a,b) in N and a = b^2...

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

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

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  19. Let f be the subset of Z xx Z defined by f = {(ab, a + b) : a,b in Z} ...

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  20. Let A = {9,10,11,12,13} and let f : A rarr N be defined by f (n) = the...

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