Consider the functions defined by f(x) 2e (x 1) 2 (a)Describe the full set of 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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Question: Consider the functions defined by f(x)=2e^(x-1)+2 (a)Describe the full set of transformations, which when applied to the graph of y=e^x produces the graph of f.

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

(a)Describe the full set of 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.

(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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