Answer:
<em>Thus, f and g are inverse functions</em>
Step-by-step explanation:
<u>Inverse Functions</u>
If two functions f(x) and g(x) are inverses, then it follows that:

Or:

We are given


Let's test if they are inverse functions:

Simplifying:

Now find:

Operating:

Thus, f and g are inverse functions
 
        
                    
             
        
        
        
Answer:
<u>$4800</u>
Step-by-step explanation:
The expected net income is the probability when rains multiplied by net income (profit) summed with the probability of not raining with that days net income multiplied.
First, Chance of rain = 12% = 12/100 = 0.12
Profit/Loss = Income - Cost
Income is 5000
Cost = 9000
So,
Loss = 5000 - 9000 = 4000
Or, Net Income (profit) = - 4000
Now, Change of not raining = 100 - 12 = 88% = 88/100 = 0.88
Profit = Income - Cost
Income = 15,000
Cost = 9000
Net Income (profit) = 15000 - 9000 = 6000
So, we can write the expected net income as:
<u>Expected NI </u>= (0.12)(-4000) + (0.88)(6000) = <u>$4800</u>
 
        
             
        
        
        
Answer:
true 
Step-by-step explanation:
i hope that helped you
 
        
             
        
        
        
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