Answer:
A plot would be very useful to solve the question.
Step-by-step explanation:
Two functions f(x) and g(x) are inverses if and only if:
f( g(x)) = g(f(x)) = x.
With that, we will find that the correct option is: g(x) = 2*x - 16
Let's see how to find the inverse of the given function.
The given function is: f(x) = (1/2)*x + 8
Notice that this is linear, thus, we propose an inverse that is also linear:
g(x) = a*x + b
Now we evaluate g(x) in f(x) to get:
g(f(x)) = a*f(x) + b
And that must be equal to x, so we get:
a*f(x) + b = x
a*((1/2)*x + 8) + b = x
(a/2)*x + a*8 + b = x
Then we have two equations:
(a/2) = 1, so a = 2.
a*8 + b = 0
And we know that a = 2, so we can replace that:
2*8 + b = 0
b = -16
Then the inverse function is:
g(x) = 2*x - 16
If you want to learn more, you can read:
brainly.com/question/2541698
Answer:
Step-by-step explanation:
The square base measures 8 inches by 8 inches. The slant height is 10 inches.
The formula for determining the area of the square base of the pyramid is l^2. Therefore,
Area of the base = 8^2 = 64 inches^2
The formula for determining the perimeter of the square base is
4l. It becomes
4 × 8 = 32 inches
The amount of construction paper needed to make this pyramid is the total surface area of the pyramid. Therefore,
Total surface area = (1/2 × 32 × 10) + 64
= 160 + 64 = 224 inches^2
May I get brainlist? Answer: x= 1/7
