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Which of the following function is surjective but not injective. (a) `f:R->R ,f(x)=x^4+2x^3-x^2+1` (b) `f:R->R ,f(x)=x^2+x+1` (c) `f:R->R^+ ,f(x)=sqrt(x^2+1)` (d)`f:R->R ,f(x)=x^3+2x^2-x+1`

A

`f:R rarr R, f(x)=x^(4)+2x^(3)-x^(2)+1`

B

`f:R rarr R, f(x)=x^(3)+x+1`

C

`f:R rarr R^(+), f(x)=sqrt(1+x^(2))`

D

`f:R rarr R, f(x)=x^(3)+2x^(2)-x+1`

Text Solution

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The correct Answer is:
D
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