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,

$g(x)=550+40x$

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.

$\begin{gathered} x=550+40y \\ 40y=x-550 \\ y=\frac{x-550}{40} \end{gathered}$

So inverse of function g(x) is,

$g^{-1}(x)=\frac{x-550}{40}$