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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
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).
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