这题怎么做？---Question 5 (11 marks) Let f : R -> R, f(x) = e^x + e^-x and g : R -> R, g(x) = (1/2) f(2 - x). a. Complete a possible sequence of transformations to map f to g. 2 marks * Dilation of factor 1/2 from the x axis. * ________________________________________ * ________________________________________ Two functions g1 and g2 are created, both with the same rule as g but with distinct domains, such that g1 is strictly increasing and g2 is strictly decreasing. b. Give the domain and range for the inverse of g1. 2 marks ________________________________________ ________________________________________ ________________________________________ Let h: R -> R, h(x) = (1/k) f(k - x), where k ∈ (0, ∞). d. The turning point of h always lies on the graph of the function y = 2x^n, where n is an integer. Find the value of n. Let h₁: [k, ∞) -> R, h₁(x) = h(x). The rule for the inverse of h₁ is y = log_e((k/2)x + (1/2)√(k²x² - 4)) + k e. What is the smallest value of k such that h will intersect with the inverse of h₁? Give your answer correct to two decimal places.