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