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LogLogPlot encounters Infinite expression

If I try this:

f[x_] = Piecewise[{{0, x < 10}}, Exp[x/20]]
LogLogPlot[1/f[x], {x, 11, 20}]

the result is an error message (Infinite expression 1/0 encountered) and a
plot that has axes but no graph.

Notice that although 1/f is indeed 1/0 for x<10, the requested plot range
does not include x<10. The function is well-defined within the requested
plot range. Does anyone know what's going on with this?


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