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If f(x + 1/x) = x^2 + 1/(x^2) , then f(t...

If `f(x + 1/x) = x^2 + 1/(x^2)` , then f(t) equals to :

A

`t^2-1/t^2`

B

`t^2+1/t^2`

C

`t^2+2`

D

`(t-1)^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Since `f(x-1.x) = x^2 + 1/x^2`
`rArr f(x-1/x) = (x-1/x) + 2`
Hence `f(t) = t^2 + 2`
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