If 8 (x) is the inverse of f (x) and f (x) = 4x + 12 what is g (x) ?

g (x) = 12x + 4

g (x) = x-12

g (x) = x-3

g (x) - x-3

(y-12) / 4

Step-by-step explanation:

If g (x) is the inverse of f (x)

and f (x) = 4x + 12

f⁻¹ (x) = g (x)

let f (x) be represented as y

f (x) = y

y = 4x + 12

subtract 12 from both sides

y-12 = 4x

divide both sides by 4

(y-12) / 4 = x

so f ⁻¹ (y) = (y-12) / 4 so g (x) = (x-12) / 4