Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?
1 answer:
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:
- 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
You might be interested in
Answer: 20 unit.
Step-by-step explanation:
Since, Here the vertices of the rhombus defg are d(1, 4), e(4, 0), f(1, –4), and g(–2, 0).
Where, de, ef, fg, gd are sides of the rhombus defg.
By the distance formula,
Thus, the side of rhombus = 5
By the property of rhombus,
de = ef = fg = gd = 5 unit.
Thus, the perimeter of the given rhombus defg = de + ef + fg + gd = 5+5+5+5 = 20 unit