Question

Given P(n) = 0.25n+5.2 and P^-1 is the inverse function and x is an output of P, how does one find P^-1(x) and p^-1(8.5)?

Answer 1

`P^(-1)(x)=4x-20.8` and `P^(-1)(8.5)=13.2`

Explanation:

Let `P(n)=y`, then `x=0.25n+5.2`

and `n=(x-5.2)/0.25=4x-20.8`

Hence `P^(-1)(x)=4x-20.8`

and `P^(-1)(8.5)=4xx8.5-20.8=34-20.8=13.2`