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2 answers:
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Answer:
graph of function f of x equals 30 multiplied by 0.88 to the power of x
Step-by-step explanation:
The deodorant is begun to evaporate in other words, it is losing mass so the rate of 12% is a decay rate. In the exponential decay, the graph of the function goes according to the formula:
Where is the initial amount (
),
is the rate of decay (
) and
the times intervals, in this case, measured in days. Substituting the values in the formula:
Which corresponds with the "graph of function f of x equals 30 multiplied by 0.88 to the power of x".
the function f(x) = 4(x+3) − 5
Lets find the inverse function f^-1(x)
step 1: Replace f(x) with y
y = 4(x+3) − 5
step 2: Replace x with y and y with x
x = 4(y+3) - 5
step 3: Solve for y
x = 4(y+3) - 5
x = 4y +12 -5
x= 4y + 7 (subtract 7 on both sides)
x - 7 = 4y (divide by 4 on both sides)
Given : x = 3
We plug in 3 for x in the inverse function
= -1
the inverse function when x = 3 is -1