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If the function f(x) satisfies the condi...

If the function f(x) satisfies the condition `f(x + 1/x)` = `x^2 + 1/x^2,x ne 0` then f(x) is

A

a) `x^2 + 2`

B

b) `x^2 - 2`

C

c) `2 - x^2 `

D

d) `x^2/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Let x + 1/x = z
`therefore x^2 + 1/x^2 = z^2 - 2`
`therefore f(z) = z^2 - 2`
`therefore f(x) = x^2 - 2`
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