MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.1 The Chain Rule, #37 · Calculus · Differentiation rules

Only six functions can be constructed by compositions (in any sequence) of…

Only six functions can be constructed by compositions (in any sequence) of $g (x) = 1 - x$ and $f (x) = 1/ x$ . Starting with $g$ and $f$ , find the other four.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.1 The Chain Rule, #37

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