Question

Find the inverse of the function y = x^2 – 12.

a) y = +/- sqrt(x - 12)
b) y = +/- sqrt(x + 12)
c) y = +/- sqrt(x) - 12
d) y = +/- sqrt(x) + 12

Answer 1

To find the inverse of the given function, swap x and y, rearrange the equation, and solve for y.

Step-by-step explanation:

To find the inverse of the function y = x^2 - 12, we need to swap the variable x with y and solve for y. Here is the step-by-step process:

1. Start with the equation y = x^2 - 12.
2. Swap x and y to get x = y^2 - 12.
3. Rearrange the equation to isolate y: y^2 = x + 12.
4. Take the square root of both sides to solve for y: y = +/- sqrt(x + 12).

Therefore, the correct inverse of the function y = x^2 - 12 is y = +/- sqrt(x + 12).