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Problem of the Day
Determine all functions f: \mathbb N\to \mathbb N such that for every positive integer n we have: 2n+2001\leq f(f(n))+f(n)\leq 2n+2002.
Posted by: Valentin Vornicu
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f(x)^f(y) = f(y^x)
Find all functions f : \mathbb{R}^+ \rightarrow \mathbb{R}^+ satisfying f(x)^{f(y)} = f(y^x) for all x,y \in \mathbb{R}^+.
Posted by: chaotic_iak » Yesterday, 11:22 pm
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f(x)^f(y) = f(x^y)
Find all functions f : \mathbb{R}^+ \rightarrow \mathbb{R}^+ satisfying f(x)^{f(y)} = f(x^y) for all x,y \in \mathbb{R}^+.
Posted by: chaotic_iak » Yesterday, 11:21 pm
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f(x)^f(y) = f(xy), part 2
Find all functions f : \mathbb{R} \rightarrow \mathbb{R}^+ satisfying f(x)^{f(y)} = f(xy) for all x,y \in \mathbb{R}.
Posted by: chaotic_iak » Yesterday, 11:21 pm
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f(x)^f(y) = f(xy), part 1
Find all functions f : \mathbb{R}^+ \rightarrow \mathbb{R}^+ satisfying f(x)^{f(y)} = f(xy) for all x,y \in \mathbb{R}^+.
Posted by: chaotic_iak » Yesterday, 11:21 pm
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f(x)^f(y) = f(x+y), part 2
Find all functions f : \mathbb{R} \rightarrow \mathbb{R}^+ satisfying f(x)^{f(y)} = f(x+y) for all x,y \in \mathbb{R}.
Posted by: chaotic_iak » Yesterday, 11:21 pm
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