1 1 vote If $f, g:[0,1] \rightarrow \mathbb{R}$ are continuous and $f \cdot g=0$, then one of $f$ or $g$ is zero on an open subset of $[0,1]$. Analysis tifrmaths2025 real-analysis continuity topology true-false + – Shubham Sharma 2 212 views answer comment Share Follow Print 0 reply Please log in or register to add a comment.