Thursday 14 November 2013

all functions f defined on the set of rational numbers

Determine all functions f defined on the set of rational numbers that take rational values
for which f(2f(x) + f(y)) = 2x + y for each x and y.
at
Labels: , ,

No comments:

Post a Comment

Subscribe to: Post Comments (Atom)

Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, &a...