SOLUTION: Given a function f of a real variable that satisfies the equation defined by:
a x f(2-a) - 2 x f(a) = (a^2) + 1
For all real a, what is the value of f(a) in terms of a?
Algebra ->
Functions
-> SOLUTION: Given a function f of a real variable that satisfies the equation defined by:
a x f(2-a) - 2 x f(a) = (a^2) + 1
For all real a, what is the value of f(a) in terms of a?
Log On
Question 1184781: Given a function f of a real variable that satisfies the equation defined by:
a x f(2-a) - 2 x f(a) = (a^2) + 1
For all real a, what is the value of f(a) in terms of a?
You can put this solution on YOUR website!
I will assume that your expression is .
If this expression is true, then by replacing by , one obtains
. We thus have the system
