DalilaZ668833 DalilaZ668833
  • 03-11-2022
  • Mathematics
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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)=

The cost in dollars of producing a highend plasma television sets is C g2 550 402 Find a formula for the inverse function ggC class=

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SyedaK787582 SyedaK787582
  • 03-11-2022

Given:

The function is,

[tex]g(x)=550+40x[/tex]

Explanation:

Assume y = g(x). So

[tex]\begin{gathered} y=g(x) \\ =550+40x \end{gathered}[/tex]

Replace variable x with y and y with x.

[tex]x=550+40y[/tex]

Solve the equation for y.

[tex]\begin{gathered} x=550+40y \\ 40y=x-550 \\ y=\frac{x-550}{40} \end{gathered}[/tex]

So inverse of function g(x) is,

[tex]g^{-1}(x)=\frac{x-550}{40}[/tex]

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