Write the inverse of f(x) = 3^x - 1

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.

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).