College Algebra CLEP Prep Practice Exam

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Find the inverse of the function y = x2 + 7x + 12.

y = -x2 - 7x - 12
y = 1 / (x2 + 7x + 12)
y = -1 / (x2 + 7x + 12)
y = x2 - 7x - 12

The correct answer is: y = x2 - 7x - 12

To find the inverse of a function, we switch the places of the x and y variables and solve for y. This means that the inverse of y = x2 + 7x + 12 is written as x = y2 + 7y + 12. Then, we solve for y by using the quadratic formula or by completing the square. Option A changes the sign of the quadratic term, which is incorrect. Option B and C include the negative sign on the entire function, when it should only be on the x term in the quadratic equation. Option D, the correct answer, keeps the quadratic term and moves the constant to the other side, which is the correct way to write the inverse function. Therefore, D is the correct option.