Find the inverse function of g(x) = 2x + 4. g -1(x) = 4x + 2 g -1(x) = 2x + g -1(x) = x - 2 g -1(x) = 2x - 4

For this case we must find the inverse of the following function:[tex]g (x) = 2x + 4[/tex]Replace g(x) with y:[tex]y = 2x + 4[/tex]We exchange the variables:[tex]x = 2y + 4[/tex]We solve for "y":We subtract 4 on both sides of the equation:[tex]x-4 = 2y[/tex]We divide between 2 on both sides of the equation:[tex]y = \frac {x} {2} -2[/tex]We change y by [tex]g ^ {-1} (x)[/tex]:[tex]g ^ {- 1} (x) = \frac {x} {2} -2[/tex]Answer:[tex]g ^ {- 1} (x) = \frac {x} {2} -2[/tex]