Identify all inflection points of f(x)=(1/x)+ln(x)

Question

Looking at the graph the only inflection point I can see is (1,1), however, I'm not sure about that answer.

Answer 1

(1,1) is when the 1st derivative is 0 and the 2nd derivative is < 0 (It is a min)

An inflection point is where the curvature changes or the 2nd derivative changes sign (0 for most functions):

f''(x) = 2/x³-1/x² set to 0 and x =2 is the inflection point location.