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Solution: If f and g are increasing functions on an interval I ⊆ R, show that f+g is an increasing function on I. If f is also strictly increasing

Question: If $f$ and $g$ are increasing functions on an interval $I \subseteq \mathbb{R}$, show that $f+g$ is an increasing function on $I$. If $f$ is also strictly increasing on $I$, then $f+g$ is strictly increasing on $I$.

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Solution: If f and g are increasing functions on an interval I ⊆ R, show that f+g is an increasing function on I. If f is also strictly increasing

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