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What is the inverse of y = 4x – 6?

  1. y = 4/x + 6

  2. y = x/4 + 6

  3. y = -6x + 4

  4. y = -6/x + 4

The correct answer is: y = 4/x + 6

The inverse of a linear function can be found by switching the x and y variables and solving for y. In this case, the inverse function is y = x/4 + 6. The other options are incorrect because they do not switch the x and y variables, or they incorrectly substitute the inverse values. Option B has the incorrect coefficient on the x variable, option C has the incorrect signs for the coefficients, and option D has a combination of both errors.