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Since we are finding the inverse you switch the variable. So it is now x=7y+2 and now you solve for y. You would get x-2/7 = y for the inverse
There would be a hole when x = -4.
If you factor both the top and the bottom, you will see that the factor (x + 4) is in both the numerator and denominator. Therefore, the would be a hole when x = -4 because that would also make the denominator 0.
It becomes a liquid
hope this helped