leopenaloza686
leopenaloza686 leopenaloza686
  • 11-06-2020
  • Chemistry
contestada

If g(x) is the inverse of f(x) and f(x)=4x+12, what is g(x)?​

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WeatheringWithYou
WeatheringWithYou WeatheringWithYou
  • 11-06-2020

Answer: [tex]y = \frac{1}{4}x-3[/tex]

Explanation:

To find the inverse of an equation, follow these steps:

  1. Replace every f(x) or y with x, and every x with y.
  2. Solve the equation for y

We are given the equation [tex]f(x) = 4x + 12[/tex] , so replace f(x) with x.

Then, replace x with y.

Your new equation:

[tex]x = 4y + 12[/tex]

Now, solve for y:

[tex]x = 4y + 12\\\\4y = x - 12\\\\y = \frac{1}{4}x-3[/tex]

This equation is the inverse of f(x), or g(x).

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