Answer:
D: The slope is 3
Step-by-step explanation:
To figure out the slope, which is always a constant, you simply figure out the average displacement using the points we already know. This is described by the equation y2-y1/x2-x1. Let's use the ordered pairs (-3, 2) and (-1, 8) to figure this out.
8-2/-1-(-3) = 6/2 = 3
Another method you could use is to graph the points and figure out how many units y has to go up for every x over, or the "rise over run"
Either way, your slope is 3.
Remark
The reason you are not getting many replies to this is an uncertainty about f(x). We do not know if you mean f(x) = 2/(x - 6) or f(x) = (2/x) - 6. We'll try it both ways.
First Way f(x) = 2/(x - 6)
f(x = y = 2/(x - 6) Interchange x and y
x = 2 / (y - 6) Multiply both sides by y - 6
x(y - 6) = 2 Divide by x
y - 6 = 2/x Add 6 to both sides.
y = 2/x + 6 Which is close to g(x) but it is not the same thing, even if you use x as a common denominator. That would give you

Second Way: f(x) = (2/x) - 6
f(x) = y = (2/x) - 6 Interchange x and y
x = (2/y) - 6 Add 6 to both sides
x + 6 = 2/y Multiply both sides by y
y(x + 6) = 2 Divide by sides by (x + 6)
y = 2/(x + 6)
Comment
These do not look anything alike so g(x) and f(x) are not inverses.
Answer:
c
Step-by-step explanation:
9x-4 (x-3)+72
9x-4x+12+72
5x+84
5x/5 + 84/5
x=17
Answer:
c=45 and A=145
M=15 and L=115
Step-by-step explanation:
9 plus How many sides nine times