Question

Identify the inverse g(x) of the given relation f(x).

f(x) = {(8,3), (4, 1), (0, -1), (-4, -3)}
g(x) = {(-4, -3), (0, -1), (4, 1), (8,3)}
g(x) = {(-8, -3), (-4, 1), (0, 1), (4,3)}
g(x) = {(8, -3), (4, -1), (0.1), (-4,3)}
g(x) = {(3.8), (1,4),(-1,0), (-3,-4)}

Answer 1

D

Explanation:

Given (x, y) is a point on f(x), then the corresponding point on the inverse g(x) is (y, x)

Hence

(8, 3) → (3, 8)

(4, 1) → (1, 4)

(0, - 1) → (- 1, 0)

(- 4, - 3) → (- 3, - 4)

That is the last set of points represents g(x)