Question: 3. Let f be defined by f(x) = In(2 + ex-3), for all x. (a) Show that f is strictly increasing and find the range

3. Let f be defined by f(x) = In(2 + ex-3), for all x. (a) Show that f is strictly increasing and find

g, of f. Where is g defined? (c) Verify that f' (3)

3. Let f be defined by f(x) = In(2 + ex-3), for all x. (a) Show that f is strictly increasing and find the range of f. (b) Find an expression for the inverse function, g, of f. Where is g defined? (c) Verify that f' (3) = 1/8'(f(3)).

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