Question

f(x + 1/x) = x^2 + 1/x^2 find f(x)?

Answer 1

x + 1/x = y

x = y -1/x

f(y) = (y- 1/x)^2 - 1/(y - 1/x)^2

Answer 2

Am i correct or is there any other way...??

Answer 3

not correct

Answer 4

u need to isolate x in
x + 1/x = y

Answer 5

or

Answer 6

x^2+1/x^2 = (x+1/x)^2 - 2
so .... ?

Answer 7

f(x + 1/x) = x^2 + 1/x^2 = (x+1/x)^2-2
f(x) = x^2-2

Answer 8

got this ?

Answer 9

Yup.....thxxx...

Answer 10

welcome ^_^