grandes-ecoles 2022 Q8

grandes-ecoles · France · x-ens-maths-c__mp Proof Direct Proof of a Stated Identity or Equality
Show, if $f$ and $g \in O_1$ have non-negative real coefficients and if $r \in [0, \infty]$, that $f \circ g(r) = f(g(r))$.
Show, if $f$ and $g \in O_1$ have non-negative real coefficients and if $r \in [0, \infty]$, that $f \circ g(r) = f(g(r))$.