A functional equation
Posted: Tue May 16, 2017 8:45 pm
Find a function $f(x)$ which satisfies the functional equation:
$$f^2(x) = c(x^2 + 1) + f(x^2),$$
where $c$ is a positive constant.
$$f^2(x) = c(x^2 + 1) + f(x^2),$$
where $c$ is a positive constant.