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,,0), (-3,-4)}

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Step-by-step 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)

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66answer:

step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)