College Algebra CLEP Prep Practice Exam

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What is the inverse of y = 3x - 1?

  1. y = -3/x - 1

  2. y = 3/x - 1

  3. y = -3x + 1

  4. y = 3x + 1

The correct answer is: y = -3/x - 1

The inverse of a function can be found by switching the x and y variables and solving for y. In this case, when we switch the x and y variables in the given equation, we get x = 3y - 1. We then solve for y by adding 1 to both sides and dividing by 3, giving us y = (x + 1)/3. So the inverse of y = 3x - 1 is y = (x + 1)/3 or simplifying it, y = x/3 + 1/3. Option B is incorrect because it only switches the x and y variables, but does not correctly solve for y. Similarly, option C switches the variables and has the correct operation, but is missing the proper signs. Option D correctly switches the variables and has the correct signs, but the operation is incorrect. Option A

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