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    $\begingroup$ Yes exactly, I want the shortest distance between their graphs. Thank you for the answer! Also, is there a way to solve this without using Minimize? $\endgroup$ Commented May 3, 2022 at 17:05
  • $\begingroup$ @Lentato: I don't think so: "shortest distance" needs minimization. $\endgroup$ Commented May 3, 2022 at 17:16
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    $\begingroup$ @Lentato: In principle you could use a combination of Grad and Solve/NSolve to tell Mathematica to solve the equations $\partial f/\partial x_1 = 0$ and $\partial f/\partial x_2 = 0$, where $f$ is the distance between the points $(x_1, f_1(x_1))$ and $(x_2, f(x_2))$. But that's one of the algorithms that Mathematica tries when you invoke Minimize/NMinimize anyhow. $\endgroup$ Commented May 3, 2022 at 17:37
  • $\begingroup$ The constraint x2 > 0 is not needed. $\endgroup$ Commented May 3, 2022 at 21:42