Question

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

Answer 1

Comparing the functions, from the tables, it is found that (f - g)(x) is positive in the interval (–∞, 9) .

----------------------

• For the subtraction function, we simply subtract both functions, thus:

$(f - g)(x) = f(x) - g(x)$

• It is positive if f is greater than g, that is: f(x) > g(x).
• It is a linear function, so one function is greater before the equality, one after.
• They are equal at x = 9.
• If x < 9, f(x) > g(x), and thus, (f - g)(x) is positive, which means that the desired interval is:

(–∞, 9)

A similar problem is given at brainly.com/question/24610273