Question: Let be two globally Lipschitz continuous functions. If (f) is bounded, then (h(x):=f(x) g(x)) is locally Lipschitz continuous and at most linearly growing. fg: R-R

Let fg: R-R be two globally Lipschitz continuous functions. If $f$ is bounded, then $h(x):=f(x) g(x)$ is locally Lipschitz continuous and at most linearly growing.

fg: R-R

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