Question

Inverse Function:
f-¹ (- 3)
f(x) = 6x - 12

Answer 1

f(x) = 6x - 12
y = 6x - 12
y + 12 = 6x - 12 + 12
y + 12 = 6x
6 6
¹/₆y + 2 = x
y = ¹/₆x + 2
f⁻¹(x) = ¹/₆x + 2
f⁻¹(-3) = ¹/₆(-3) + 2
f⁻¹(-3) = -¹/₂ + 2
f⁻¹(-3) = 1¹/₂
(x, f⁻¹(x)) = (-3, 1¹/₂)