Question

If g(x) is the inverse of f(x) and f (x) = 4 x + 12, what is g(x)?
g (x) = 12 x + 4
g (x) = one-fourth x minus 12
g (x) = x minus 3
g (x) = one-fourth x minus 3

Answer 1

g(x) = (1/4)x − 3

Reason: Let y = 4x + 12. Swap x and y: x = 4y + 12, so y = (x − 12)/4 = (1/4)x − 3.