Question

Finding a valuating and interpreting an inverse function for given linear relationship

Answer 1

Given:

`P(n)=0.8n+5.2`

(b)

`\begin{gathered} x=0.8P^{\mleft\{-1\mright\}}\mleft(x\mright)+5.2 \\ 0.8P^{\mleft\{-1\mright\}}\mleft(x\mright)=x-5.2 \\ P^{\mleft\{-1\mright\}}\mleft(x\mright)=(x-5.2)/(0.8) \end{gathered}`

(c)

`\begin{gathered} P^{\mleft\{-1\mright\}}\mleft(10.4\mright)=(10.4-5.2)/(0.8) \\ =(5.2)/(0.8) \\ =6.5 \end{gathered}`