F(x) = (3x - 2)/6 which of the following is the inverse of F(x) ? O A O B. F ^ 1 * (x) = (6x + 2)/3 F ^ - 1 * (x) = (2x - 3)/6 F ^ 1 * (x) = (6x - 2)/3 F ^ - 1 * (x) = (2x + 3)/6 O D.

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Answer:

A

Step-by-step explanation:

The inverse of the given function is (6x + 2)/3.

What is the inverse of a function?

"The inverse of a function is a function that undoes the operation of that function. The inverse of a function exists if and only if the function is bijective"

Given function is

F(x) = (3x - 2)/6

⇒ y = (3x - 2)/6

If we write 'x' instead of 'y' and 'y' instead of 'x', then we get:

x = (3y - 2)/6

⇒ 6x = (3y - 2)

⇒ 3y = 6x + 2

⇒ y = (6x + 2)/3

Therefore, F⁻¹ (x) = (6x + 2)/3

Learn more about the inverse of a function here:https://brainly.com/question/16959154

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