Answer:
Step-by-step explanation: I believe the answer was supposed to be 'A' but your typing is missing some fraction bars, or division lines, or slashes, whichever you choose to call them.
The correct answer is y = (1/3)x - 2/3.
Here is why:
We are given y = 3x + 2. The inverse relation is obtained by switching the 'x' and 'y' variables, then rewriting THAT so 'y' is isolated again.
So we write the inverse relation, x = 3y + 2.
Then, 3y + 2 = x, just to get the 'y' on the left side.
Subtract 2 from each side ---> 3y = x - 2
Divide both sides by 3. ----> y = (1/3)x - (2/3)
NOW, is it realy a function? We know this is a linear relation because the variable is to the first power, not squared or cubed, or a fraction, or anything like that. The slope is 1/3, the coefficient of the 'x' variable, since we have written the line's formula in point-slope format, y = mx + b.
The only way a line can NOT be a function is if the line is exactly vertical. Then the one 'x' value has infinitely many 'y' values up and down that vertical line, not just one 'y' value for that 'x', as required to be a function. But all vertical lines have an undefined slope. And (1/3) is certainly a defined number. Sooooo, the inverse relation is indeed an inverse 'function'.