When in doubt, graph it.
The 3rd and 4th choices are appropriate.
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This is what is known as a "logistic function." It is used to model population growth when there is a resource limit. It starts out exponential, but then slows as it reaches the "carrying capacity" of the environment. The lower asymptote is zero; the upper one is the carrying capacity of the resource--here 15/1 = 15.
The inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
<h3>
What is inverse of a function?</h3>
An inverse of a function is a function that serves to replace another function.
That is, if f(x) produces y, then putting y into the inverse of f produces the 0ut-put x .
Thus, an inverse function or an anti function is defined as a function, which can reverse into another function.
The inverse of the given function; f(x)= 3x − 12 is calculated as follows;
y = 3x - 12
replace y with x and x with y as shown below;
x = 3y - 12
now, solve for y
x + 12 = 3y
divide both sides of the equation by 3
x/3 + 12/3 = 3y/3
x/3 + 4 = y
f⁻¹(x) = x/3 + 4
Thus, the inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
Learn more about inverse of a function here: brainly.com/question/3831584
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The complete question is written below:
find the inverse of the function, f(x) = 3x - 12
Cooking, technology, sports, business
Newton's Law of cooling is a differential equation that is simplified by using limits in temperature and time. The simplified equation is:
ln(T-Ts) = ln(T0-Ts) - kt
where
T is the final temperature
T0 is the initial temperature
Ts is the temperature of the surroundings
t is the time
k is a constant
Substituting the values:
ln(T-70) = ln(200-70) - (0.6)(2)
T = 109.16°F
The answer is B.
Answer:
C. 3
Step-by-step explanation:
To find slope you take one (y) and subtract another (y) then divide that by an (x) minus the other (x) so
8-5/2-1
3/1.
The slope is 3
