Answer:
<em>Thus, f and g are inverse functions</em>
Step-by-step explanation:
<u>Inverse Functions</u>
If two functions f(x) and g(x) are inverses, then it follows that:

Or:

We are given


Let's test if they are inverse functions:

Simplifying:

Now find:

Operating:

Thus, f and g are inverse functions
Answer:
254.5 Inches Cubed
Step-by-step explanation:
Formula for Finding the Volume of a Cylinder: 
The radius is 3 inches.

The height is three times the radius.
Multiply the radius by three to get the height.

The height is 9 inches.
Use the formula to find the volume.

The exact volume is 81
inches cubed.
≈ 254.47
254.47 ≈ 254.5
The volume of the cylinder should be about 254.5 inches cubed.
Answer:
b
Step-by-step explanation:
Answer:
(-4, -1/2)
Step-by-step explanation:
to calculate the midpoints bt of the line use the ormula:

Where (x1, x2) is one coordinate point and (y1, y2) is anither coordinate point. Any two points will work, but I chose A (-5,-4) and B (-3, 3).

(-4, -1/2)
Answer:
a = 6
Explanation:
7a − 17 = 4a + 1
Subtract 4a from both sides
7a − 17 − 4a = 4a + 1 − 4a
3a − 17 = 1
Add 17 to both sides
3a − 17 + 17 = 1 + 17
3a = 18
Divide both sides by 3
3a / 3 = 18 / 3
a = 6