Tangents and inverses Suppose y = L1x2 = ax + b (with a _
Chapter 3, Problem 74(choose chapter or problem)
Tangents and inverses Suppose y = L1x2 = ax + b (with a _ 0) is the equation of the line tangent to the graph of a one-to-one function f at 1x0, y02. Also, suppose that y = M1x2 = cx + d is the equation of the line tangent to the graph of f -1 at 1y0, x02. a. Express a and b in terms of x0 and y0. b. Express c in terms of a, and d in terms of a, x0, and y0. c. Prove that L-11x2 = M1x2.
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