Difference between revisions of "User:Zhoujef000"

Latest revision as of 11:16, 29 April 2024

test

1434

xonk (-1434 MOHS FE)

Find all functions $f: \mathbb{R} \to \mathbb{R}$ such that $f(xonkrbo)=xonkrbo$ for all real numbers $x,o,n,k,r,$ and $b.$

Let $A$ be the set of positive real numbers. Determine, with proof, if there exists at least one function $f : A\to A$ such that $f(x^x)=f(x)^{f(x)}$ for all real $x$ in $A.$

Determine all functions $f:\mathbb{R} \to \mathbb{R}$ such $f(x+y)=f(y)$ for all real numbers $x$ and $y.$

Find all functions $f:\mathbb{R}\to \mathbb{R}$ such that $f\left(x+\dfrac{1}{x}\right)+f\left(y+\dfrac{1}{y}\right)+f\left(z+\dfrac{1}{z}\right)=1$ for all real numbers $x,y,z\neq 0.$

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 test
 ==1434==
-xonk
+xonk (-1434 MOHS FE)
+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>
+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>
+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>
+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>

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Difference between revisions of "User:Zhoujef000"

Latest revision as of 11:16, 29 April 2024

1434