The inverse of this function would be f(x) = 
.
You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.
f(x) = 
- 1 ----> Switch f(x) and x
x = 
- 1 ----> Add 1 to both sides
x + 1 = -----> Take the logarithm of both sides in order to get the f(x) out of the exponent
Log(x + 1) = f(x)Log3 ----> Now divide both sides by Log3
= f(x) ----> And switch the order for formatting purposes.
f(x) =
And that would be your new inverse function.
Attached is a drawing to set up the problem, hopefully that helps.
The red lines are tracing the rowing and walking to get to other side.
dR = distance rowed
dw = distance walked
x = the angle in which to start rowing initially
dR can be found by using Law of cosines
dw is arc length, which is just radius*arc
next we need t set up a function for Time in terms of x.
This is so we can minimize the time it takes to get to other side.
Time = distance/rate
Finally, take derivative and set equal to 0
Once you solve for x, plug it back into Time function to obtain final answer.
Answer:
11 cm
Step-by-step explanation:
Given:
Length of new pencil = 19 cm
Length of pencil after using a month = 8 cm
Question asked:
The pencil is centimeters shorter now than when it was new = ?
Solution:
Length of new pencil = 19 cm
Length of pencil after using a month = 8 cm
The pencil is centimeters shorter now than when it was new = 19 cm - 8 cm
= 11 cm
Length of pencil has been used during a month = 11 cm
<h3>
Answer: C) 0.02</h3>
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Explanation:
Any r values close to -1 or +1 represent strong correlation. Specifically, anything close to r = -1 is strong negative correlation, while anything close to r = 1 is strong positive correlation.
As you move closer to r = 0, the correlation weakens. The value r = 0.02 in choice C is the closest to r = 0, so this correlation is the weakest among the group of other r values.
