Explain what exponential decay is
2 answers:
A quantity X follows an exponential decay (decrease) if it decreases at a rate proportional to its current value. This can be written as
with t being the time (can be continuous or discrete steps), and "a" being a rate of decay (the larger "a" the faster the decay). X0 is an initial (at time 0) value of the quatity X. Exponential decay is seen frequently in nature (radioactivity, chemical reactions) and economics.
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Answer:
Option B. all real numbers
Step-by-step explanation:
We have
and
They ask us to find
(fog)(x) and it's Domain
To solve this problem we must introduce the function g(x) within the function f(x)
That is, we must do f(g(x)).
So, we have:
Then:
The domain of the function f(g(x)) is the range of the function .
Since the domain and range of g(x) are all real numbers then the domain of f(g(x)) are all real numbers
Therefore the correct answer is the option b:
And his domain is all real.
Answer:
Option (A)
Step-by-step explanation:
Te given equation is,
-qx + p = r
Toe find the value of x,
By subtracting p from both the sides of the equation.
-qx + p - q = r - q
-qx = r - q
By dividing the whole equation by (-q),
x =
x =
Therefore, Option (A) will be the answer.