If a function f(x) is such that f(x+1/x)...

If a function `f(x)` is such that `f(x+1/x) = x^(2)+1/(x^2)`, then `(fof)(sqrt(11))` =

A

9

B

81

C

79

D

`sqrt(11)`

Verified by Experts

The correct Answer is:

C

`f(x+1/x)=(x+1/x)^(2) - 2`
`:. f(x) = x^(2)-2`
`f (sqrt11) = 9`
for `(sqrt11) = f(fsqrt(11))`
`= f(9)=9^(2)-2 = 79`.

Similar Questions

Explore conceptually related problems

If f(x)=(x)/(sqrt(1-x^(2))) then (fof)(x)=

If f(x) = (x)/(sqrt(1+ x^(2))) , then (fof) (x) =

A function f(x) is such that f(x+1)=sqrt(f(x)+2) , where x in I^+ uu {0} and f(0)=0 then f(x) is a/an

The function f(x) = sec[log(x + sqrt(1+x^2))] is

The function f(x)=sqrt(1-sqrt(1-x^(2)))

If f(x)=sqrt(x^(2)-2x+1), then f' (x) ?

f:R rarr R; f(x)=(1-x^2) then fof(x) is

If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x) , then period of f(x) can be

If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x), then find the period of f(x)