SOLUTION: Suppose that v(t) = 10^t-1 +2 Compute v^-1 (t)

Question 89238: Suppose that v(t) = 10^t-1 +2 Compute v^-1 (t)
Answer by Edwin McCravy(20063) (Show Source): You can put this solution on YOUR website!


Suppose that  =  
Compute 

The 4 steps for finding the inverse of a function are: 

1. Replace  by 
2. Interchange the two variables
3. Solve for 
4. Replace  by 

======================================

 = 

1. Replace  by 

    = 

2. Interchange the two variables

    = 

3. Solve for 

   Subtract 2 from both sides:

 = 

   Take logs of both sides:

 = 

   Add 1 to both sides:

 = 

   Swap sides:

 = 

4. Replace  by 

 = 

Edwin

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