Question

The cost in dollars) of producing a high-end plasma television sets is C = g(2) = 550 + 402. Find a formula for the inverse function g'.g-'(C)=

Answer 1

Given:

The function is,

`g(x)=550+40x`

Step-by-step explanation:

Assume y = g(x). So

`\begin{gathered} y=g(x) \\ =550+40x \end{gathered}`

Replace variable x with y and y with x.

`x=550+40y`

Solve the equation for y.

`\begin{gathered} x=550+40y \\ 40y=x-550 \\ y=(x-550)/(40) \end{gathered}`

So inverse of function g(x) is,

`g^(-1)(x)=(x-550)/(40)`