1.Consider the functions defined by f(x) = 2e^(x-1)+2

(a) Describe the full set for transformations, which when applied to the graph of y = e^x produces the graph of f.

(b) Find the coordinates of the points where the graph of f cuts the axes (x and y-intercepts). Use e^-1 = 0.3679.

(c) Find the rule for the inverse function f^-1(x).

(d) Write down the domain of f^-1.

(e) Sketch the graph of y = f(x) and y = f^-1(x) on the same set of axes on the graph given. (e^-1 = 0.3679).

Include asymptotes, x and y-intercepts for both f(x) and f^-1(x).