Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.3 Inverse Functions and Their Derivatives, #18 · Calculus · Differentiation rules

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If $y = 1/ x$ then $x = 1/ y$ . If $y = 1 - x$ then $x = 1 - y$ . The graphs are their own mirror images in the $4 5^{\circ}$ line. Construct two more functions with this property $f = f^{- 1}$ or $f (f (x)) = x$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.3 Inverse Functions and Their Derivatives, #18

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