Question

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

Answer 1

(y-12)/4

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