{Use of Tech} Let f(x) = ln((x+1)/(x-1)) and g(x) = ln ((x+1)/(x-1)).
b. Sketch graphs of f and g to show that these functions do not differ by a constant.

Verified step by step guidance

1. Identify the functions f(x) and g(x) as both being equal to ln((x+1)/(x-1)).
2. Determine the domain of the functions by finding the values of x for which the argument of the logarithm is positive, which requires x > 1 or x < -1.
3. Calculate the derivatives f'(x) and g'(x) to analyze the behavior of the functions and confirm they are not constant by showing that the derivatives are not equal.
4. Choose specific values of x within the domain to evaluate f(x) and g(x) to illustrate their values at those points.
5. Plot the points and the general shape of the graphs of f(x) and g(x) on the same coordinate system to visually demonstrate that they do not differ by a constant.