Answer:
(f-g)(x) = x^4 - x^3 - 4x^2 - 3
Step-by-step explanation:
(f-g)(x) = x^4 - x^2 + 9 - (x^3 + 3x^2 + 12)
(f-g)(x) = x^4 - x^2 + 9 - x^3 - 3x^2 - 12
(f-g)(x) = x^4 - x^3 - 4x^2 - 3
Answer:

Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: 
Given points: (3, -7), (7, 2)
(3, -7) = (x1, y1)
(7, 2) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:

Simplify:
2 - (-7) = 2 + 7 = 9
7 - 3 = 4

The slope is
.
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:



The y-intercept is
.
Now that we know the slope and the y-intercept, we can write the equation:

Answer:
(1, 1), (2, 2), (-3, -3), (4, 4), (-5, -5)
Step-by-step explanation:
You get a straight line. As you can see in the picture, the figure lies in the first and third quadrant.