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Which is the inverse of y = 4x + 3?

  1. y = 4/x + 3

  2. y = -4/x + 3

  3. y = 4x - 3

  4. y = 4/x - 3

The correct answer is: y = 4/x - 3

An inverse function is a function that does the opposite of the original function. Therefore, the inverse of y = 4x + 3 would involve reversing the operations and solving for x. In choice A, the division of 4 and x are reversed, but the constant term 3 is still added. Similarly in choice B, the division is reversed but the coefficient of x is changed to -4. In choice C, the addition of 3 is reversed, but the coefficient of x is changed to 4. Choice D is the only option that both reverses the operation and keeps the correct coefficient of x. Therefore, it is the correct inverse function for y = 4x + 3.