KinzeS610242 KinzeS610242
  • 27-10-2022
  • Mathematics
contestada

Can someone please help me solve the following?y = 1/2x + 6find the inverse function

Respuesta :

NylaniZ641200 NylaniZ641200
  • 27-10-2022

In order to find the inverse relation, proceed as follow:

Let y as x and x as y in the given equation:

[tex]x=\frac{1}{2}y+6[/tex]

Next, solve for y:

[tex]\begin{gathered} x-6=\frac{1}{2}y \\ \frac{1}{2}y=x-6 \\ y=2(x-6) \\ y=2x-12 \end{gathered}[/tex]

The previous equation is the inverse function:

[tex]f^{-1}(x)=2x-12[/tex]

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