Question

Which function is the inverse of f(x)=50,000(0.8)^x?

Answer 1

Step 1:

The functions are .

Find inverse function of :

Change to .

.

Interchange and .

.

Solve for .

Divide each side with 50000.

.

Apply natural logarithm on each side.

Use the logarithm rules : .

Interchange the base of logarithm : .

Change to .

Solution:

.