Difference between revisions of "User:Zhoujef000"
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+ | Find all functions <math>f: \mathbb{R} \to \mathbb{R}</math> such that<cmath>f(xonkrbo)=xonkrbo</cmath>for all real numbers <math>x,o,n,k,r,</math> and <math>b.</math> | ||
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+ | Let <math>A</math> be the set of positive real numbers. Determine, with proof, if there exists at least one function <math>f : A\to A</math> such that<cmath>f(x^x)=f(x)^{f(x)}</cmath>for all real <math>x</math> in <math>A.</math> | ||
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+ | Determine all functions <math>f:\mathbb{R} \to \mathbb{R}</math> such<cmath>f(x+y)=f(y)</cmath>for all real numbers <math>x</math> and <math>y.</math> | ||
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+ | Find all functions <math>f:\mathbb{R}\to \mathbb{R}</math> such that<cmath>f\left(x+\dfrac{1}{x}\right)+f\left(y+\dfrac{1}{y}\right)+f\left(z+\dfrac{1}{z}\right)=1</cmath>for all real numbers <math>x,y,z\neq 0.</math> |
Revision as of 00:52, 27 January 2024
test
1434
xonk
Find all functions such that
for all real numbers
and
Let be the set of positive real numbers. Determine, with proof, if there exists at least one function
such that
for all real
in
Determine all functions such
for all real numbers
and
Find all functions such that
for all real numbers