R:{-46, 52}. You cannot repeat any numbers and the order is from least to greatest.
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:

- 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
Answer:
Part 1) 
Part 2) The graph in the attached figure
Step-by-step explanation:
Part 1)
we know that
The linear equation in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have

substitute in the linear equation

solve for b

substitute

Part 2) Draw the equation
we know that
To graph a line we need two points
we have the y-intercept (0,4) and (2,-4)
Plot the points, connect them and join to draw the line
see the attached figure
The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x
<h3>Trigonometric ratios</h3>
It is important to note that
sin A = opposite/ hypotenuse
cos A = adjacent/ hypotenuse
Then,
opposite = 
Hypotenuse = 
Let's find the adjacent side using the Pythagorean theroem



cos A = x/hypotenuse

cos A = √(1 + x²)/ (1 - x²) /√1 + x
Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x
Learn more about trigonometric identities here:
brainly.com/question/7331447
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