#function-composition

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mediumAI-checkedNeural Network Basics

$F_1$ and $F_2$ are continuous piecewise linear (CPL) functions. Which of these are always CPL as well? Select all that apply.

The maximum $\max(F_1, F_2)$ 1
The sum $F_1 + F_2$ 2
The composition $F_2(F_1(x))$ , for one-variable $F_1$ and $F_2$ 3
The product $F_1 F_2$ 4
The quotient $F_1 / F_2$ where $F_2 > 0$ 5

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