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Q2) has a negative answer. Namely, if, e.g., $g(x)=-x$ for all $x\in\mathbb{R}$,
then there is no
continuous
$f:\mathbb{R\rightarrow\mathbb{R}}$ such
that $f\circ f=g$.
Q2) has a negative answer. Namely, if, e.g., $g(x)=-x$ for all $x\in\mathbb{R}$,
then there is no
continuous
$f:\mathbb{R\rightarrow\mathbb{R}}$ such
that $f\circ f=g$.
Q2) has a negative answer. Namely, if, e.g., $g(x)=-x$ for all $x\in\mathbb{R}$,
then there is no
continuous
$f:\mathbb{R\rightarrow\mathbb{R}}$ such
that $f\circ f=g$.
Q2) has a negative answer. Namely, if, e.g., $g(x)=-x$ for all $x\in\mathbb{R}$,
then there is no
continuous
$f:\mathbb{R\rightarrow\mathbb{R}}$ such
that $f\circ f=g$.
