Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?
1 answer:
From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).
--------------------
- The function (f - g)(x) is given by:
- Thus, it will be positive if:
- 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
You might be interested in
Answer:
20 meters
Step-by-step explanation:
The track is circular so it means that after Patrick raced the entire track he is back at the starting point. In other words, every 440 meters he is back to the beginning.
So we would have that, if he races round the track twice, he would run 440(2) = 880 meters and he would be back at the starting point.
The problem asks us how far is he from the starting point at the 900 meter mark. If at 880 meters he is at the starting point, then at 900 meters he would be meters from the starting point.
Split into two component segments,
and
, parameterized by
respectively, with , where
.
We have
where
so the line integral becomes