The answers in C are inverses of each other.
In order to find the inverse of any equation, you simply switch the x and f(x) values and then solve for the new f(x). What it will result in is your new inverse function. If we do this for each of the problems above, only one will produce the second equation properly. See the work below for how to do it for C.
f(x) = 11x - 4 ---> Switch the x and f(x)
x = 11f(x) - 4 ----> Add 4 to both sides
x + 4 = 11f(x) ----> Divide both side by 11
= f(x) ----> Now put in the correct order
f(x) =
Since our inverse matches the g(x) function, this means that C is the correct answer.
Answer:
12.62 m
Step-by-step explanation:
Area of a circle = πr²
Area = 125m²
Hence:
125m² = πr²
r² = 125m²/π
r = √125m²/π
Hence,
r =√ 39.788735773
r = 6.3078313051 m
Diameter = Radius × 2
Therefore, Diameter of one circle is
= 6.3078313051 m × 2
= 12.61566261m
Approximately = 12.62 m
Answer:
goal independence.
Step-by-step explanation:
The Fed is comprised of 12 regional federal reserve banks and its affairs are been directed by a board of governors. The characteristics fed has, granted to it by the congress, make they to remain very independent from the activities of the executive and legislative arms of the government. The Fed makes different policies and also implement them - which helps to ensure the employment of persons are up at all times and to create stability in prices and that of the interest rates.
Evaluate the given function in x=-4.
This is, replace the x in the function for -4 and find the value of g(-4).
The value of g(-4) is 32.
Answer:
n=6
Step-by-step explanation:
(n-18)/3 = -4
multiply by 3
n-18 = -12
add 18
n = 6
