Question

the total number of months m that it takes to produce p tennis rackets (in thousands) is given by the formula m=p^3/90. what is the inverse of the function

Answer 1

Answer: To find the inverse of a function, you need to switch the dependent and independent variables (in this case, m and p) and then solve for the new dependent variable.

Here, the given function is m = p³/90.

Switching m and p, we get:

p = m³/90.

Solving for m in terms of p, we have:

m = ∛(90p).

So the inverse of the function m = p³/90 is m = ∛(90p). This tells us the number of tennis rackets produced (in thousands) given the total number of months.