From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).
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- The function (f - g)(x) is given by: [tex](f - g)(x) = f(x) - g(x)[/tex]
- Thus, it will be positive if: [tex]f(x) > g(x)[/tex]
- Looking at the table, and considering that it is a linear function, we have that f(x) > g(x) if x < -2.
- Thus, (f - g)(x) is positive in the interval (–∞, –2).
A similar problem is given at https://brainly.com/question/24388889
