(6) Given the function g(x) = log(x-3). (a) Identify the common function f(x), then sketch its...

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(6) Given the function g(x) = log(x-3). (a) Identify the common function f(x), then sketch its graph. (b) Sketch the graph of g(x) by applying transformations on the graph of f(r). Explain all the steps, Identify clearly the vertical asymptote. (c) Find the domain of g(x) (d) Deduce the graph of h(x) = [log, (x-3). (e) Is h(z) one-to-one function? Justify your answer. (6) Given the function g(x) = log(x-3). (a) Identify the common function f(x), then sketch its graph. (b) Sketch the graph of g(x) by applying transformations on the graph of f(r). Explain all the steps, Identify clearly the vertical asymptote. (c) Find the domain of g(x) (d) Deduce the graph of h(x) = [log, (x-3). (e) Is h(z) one-to-one function? Justify your answer.

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