Question

Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?

Answer 1

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: $(f - g)(x) = f(x) - g(x)$
• Thus, it will be positive if: $f(x) > g(x)$
• 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 brainly.com/question/24388889