Identify the inverse g (x) of the given relation f (x). f (x) = { (8, 3), (4, 1), (0, - 1), (-4, - 3) }

F (x) = { (8, 3), (4, 1), (0, - 1), (-4, - 3) }

f (x) = ¹/₂x - 1

f (x) = ¹/₂x - 1

y = ¹/₂x - 1

x = ¹/₂y - 1

+ 1 + 1

x + 1 = ¹/₂y

2 (x + 1) = 2 (¹/₂y)

2 (x) + 2 (1) = y

2x + 2 = y

2x + 2 = f⁻¹ (x)

2x + 2 = g (x)

g (x) = { (3, 8), (1, 4), (-1, 0), (-3, - 4) }

g (x) = 2x + 2