Given:
b(p) = 10p / (105 – p)
Find:
Inverse function = ?
Solution:
To find the inverse function, we first need to solve for p.
b · (105 - p) = 10p
105b – bp = 10p
105b = p (b + 10)
P = 105b / (b + 10)
Therefore, the inverse function tells us the percentage of
impurities removed by spending b dollars.
To add, a function that "reverses" another function is called an
inverse function. For example, if the function f is applied to an input,
let’s say x, then gives a result of y, then applying its inverse function g to
y gives the result x, and vice versa.
