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Consider f(x)=(x)/(x^(2)-1) Statement ...

Consider `f(x)=(x)/(x^(2)-1)`
Statement I Graph of `f(x)` is concave up for `xgt1.`
Statement II If `f(x)` is concave up then `f''(x)gt0`

A

Both statement I and Statement II are correct and Statement II is the correct explanation of Statement I

B

Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I

C

Statement I is correct but Statement II is incorrect

D

Statement II is correct but Statement I is incorrect.

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Let f be a function defined by f(x)=(x-1)^(2)+1,(xge1) . Statement 1: The set (x:f(x)=f^(-1)(x)}={1,2} Statement 2: f is a bijection and f^(-1)(x)=1+sqrt(x-1),xge1 .

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    B
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    C
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    D
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