Instructions:Select the correct answer. Which function is the inverse of f(x)=50000(0.8)^x

2 months ago

Solution 1

Guest #1362
2 months ago
To solve this problem you must follow the proccedure shown below:

1. You have the following function given in the problem:

f(x)=50000(0.8)^x

2. You can rewrite it as below:

y=
50000(0.8)^x

3. Then, you must apply interchange the variables:

x=50000(0.8)^y

4. Now, you have:

x/50000=(0.8)^y

5. When you apply ln you obtain:

ln(x/50000)=ln(0.8)^y
ln(x)-ln(50000)=yln(0.8)

6. Now, clear y:

y=[ln(x)-ln(50000)]/ln(0.8)

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