Suppose there are two continuous functions $f_1(x)\geq 0,f_2(x)\geq 0$. Further assume that both are decreasing and $f_1(x)\geq f_2(x)$. Is it possible that $f_1(x)$ and $f_2(x)$ touch the horizontal line (for first time) at same value of $x$. I think it is not possible. Is my thinking wrong?
2026-03-29 18:14:38.1774808078
Is it possible to have such kind of two functions?
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You say both are decreasing and non-negative so if one of them reach to horizontal line it can not increase and since it can not be negative it will stay on horizontal line and after its first zero it will be constant and equal to zero.it is possible but after they will be equal to zero.for instance -2x+2 and -x+1 between (0,1) and zero after 1