Answer:
[tex]g^{-1} (x)[/tex] = x/2 - 2
Step-by-step explanation:
given:
g(x) = 2x+4
let y = g(x)
y = 2x+4 (rearrange to express x in terms of y, subtract 4 from both sides)
y - 4 = 2x (divide both sides by 2)
y/2 -2 = x (rearrange)
x = y/2 - 2
to find inverse, switch x and y
y = x/2 - 2
hence
[tex]g^{-1} (x)[/tex] = y = x/2 - 2
