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Answer:
and
Step-by-step explanation:
If we want to express as
, this means that put the function
into
of
to get
.
The function is given as
<u>So we need to figure out a function that we can put into another
to get
</u>
If we let and
, we can clearly see that putting g(x) into x of f(x) will give us
, which is y.
Hence and
The table models an exponential relationship, and the equation of the table is
The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:
When x = 0 and y = 4, we have
Evaluate
a = 4
When x = 1 and y = 2, we have
Evaluate
Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in
Hence, the equation of the table is
Read more about exponential models at:
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