can you help me to find the set of functions f (x) and g (x) that satisfy the two following relations respectively f (x + c) = c + f (x)and g (x + c) = c + g ^ 2 (x) with c is a non-zero constant
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Let $\displaystyle h(x)= f(x)-x$ and show that $\displaystyle h(x+c)=h(x)$ for all $\displaystyle x$ meaning $\displaystyle h$ is periodic of period $\displaystyle c$
Originally Posted by popovyoussef can you help me to find the set of functions f (x) and g (x) that satisfy the two following relations respectively f (x + c) = c + f (x)and g (x + c) = c + g ^ 2 (x) with c is a non-zero constant Does $g^2(x)$ mean $g(g(x))$ or does it mean $(g(x))^2$?
Thank you very much for your answer
I thank you very much for your interest. it mean g(g(x))