Question

Which equation can be simplified to find the inverse of y = x2 – 7?

o x=y2-4
3-y2=7
x=82-7
-x = y2-7

Answer 1

To find the inverse of y = x^2 − 7, switch x and y to get x = y^2 - 7, add 7 to get x + 7 = y^2, and finally take the square root of both sides. The correct inverse is y = √(x + 7). However, none of the provided options fully represent this process.

Step-by-step explanation:

To find the inverse of the given function y = x^2 − 7, we need to switch the roles of x and y and then solve for y. Here are the steps to find the correct inverse equation:

1. Exchange x and y in the equation, so it becomes x = y^2 - 7.
2. Add 7 to both sides to get x + 7 = y^2.
3. Finally, take the square root of both sides to solve for y, resulting in y = ±√(x + 7), which represents the inverse relation. We generally consider the positive square root for the principal inverse function, so y = √(x + 7).

However, among the given options, none exactly matches the correct process for finding the inverse. The closest option, if we consider the typo, would be x = y^2 - 7, which is the first step in the process.

Answer 2

The last one is right