Question

Hallar f(x) si f(x+ 1/x)=x^2+1/(x^2)   ; (IxI es mayor o igual a 2) res urgente

Answer 1

f(x)=
f  ( $\frac{x+1}{2}$ )= $x^{2} + \frac{1}{ x^{2} }$
----> f($\frac{x+1}{2}$)(x)= $x^{2} + \frac{1}{ x^{2} }$ (x)
       f (x+1) +(-1)=  [ ( $x^{2} + \frac{1}{ x^{2} }$) (x)] +(-1)
       f (x)  =  $( x^{3} + \frac{1}{x} )-1$
Dato x mayor igual que dos, entonces
x= 2, 3, 4, 5, 6, 7.....
Podemos remplazar