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Let f : D toR bge defined as :f (x) = (x...

Let `f : D toR` bge defined as `:f (x) = (x^(2) +2x+a)/(x ^(2)+ 4x+3a)` where D and R denote the domain of f and the set of all the real numbers respectively. If f is surjective mapping. Then the complete range of a is :

A

`0 lt a le 1`

B

`0 lt a le 1`

C

`0le a lt 1`

D

`0 lt a lt 1`

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The correct Answer is:
D
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