107. Although the graphs of f(x) = ln x and g(x) = √x – 1 appear similar in many respects, each function serves a very different purpose and is used to model a very different phenomenon. Research and investigate why by carefully graphing both functions for x ∊ (0, 20). (a) State the domain and range of each function. (b) Find or estimate the location of any points of intersection. (c) Compute the value of f(x) – g(x) for x = 15, x = 1500, and x = 1500,000, and discuss why they cannot be used interchangeably as mathematical models.
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