if f (—oo,a]
Subject:MathPrice: Bought3
if f (—oo,a] .9 R, f(x) = 54 — x)2 - 3 a. Find the largest possible value of a so that f will have an inverse which is a function. [Marks: 1] b. Find the inverse function f '1 . [Marks: 3] c. State the domain and range of the inverse function f '1 . [Marks: 2] d. Use a calculator to find the coordinates of the point where the graph of f (x) and f '1 (x) intersect. Give your answer correct to 2 decimal places. [Marks: 1] e. On your own set of axes, sketch the graph of both f (x) and f '1 (x). Clearly label the exact coordinates of: . the endpoints of each graph, 0 any intercepts with the axes. [Marks: 4]
