Question

f(1-x)-x*f(1/x)=x-2

find ''x'' ?

Answer 1

anyidea what is f(x)?

Answer 2

no.just find f(x)

Answer 3

f(x) means function of x or read f function of x

Answer 4

did you copy the prob correctly?

Answer 5

i think we can say f(1-x)=(xf(1/x))+(x-2)

Answer 6

1-x=t ==> x=1-t

f(t)=(1-t)(f(1/(1-t))-(t+1)

but i stuck in here

Answer 7

re u sure u can do that in function?

"1-x=t ==> x=1-t"

Answer 8

we learn this in school
let me show an example :
f(3x-2)=5x, what is f(x)?
answer: first 3x-2=t then x=(t+2)/3
at end : f(t)=5*(t+2)/3
then change ''t'' to x
f(x)=5*(x+2)/3

Answer 9

cool, learnt sumthing new