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[math]\mathbb{R}^n[/math] [ilmath]x[/ilmath] [ilmath]f[/ilmath] [ilmath]g[/ilmath] [ilmath]f^{-1} [/ilmath]

[math]B_\delta(f(x))[/math]

[ilmath]f^{-1}(B_\delta(f(x)))[/ilmath]

[ilmath]U[/ilmath] [ilmath]f(U)[/ilmath]