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Given f(x)=x+(1)/(x), then what is f^(2)...

Given `f(x)=x+(1)/(x)`, then what is `f^(2)(x)` equal ot ?

A

`(x^(2)+1)/(x)+(x)/(x^(2)+1)`

B

`(x+1//x)^(2)`

C

`x^(4)+(11//x^(4))`

D

`x^(2)+(1//x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Given function is
`f(x)=x+(1)/(x)`
`f^(2)(x)={f(x)}^(2)`
`impliesf^(2)(x)=(x+(1)/(x))^(2)`
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