Which equation is the inverse of y = 2x² - 8?

Solution:

The function which reverses into another function is called an inverse function.

From the given data in the question, we have y = 2x² - 8

To find the inverse of any function we need to interchange the variables.

Hence, we get x = 2y² - 8

⇒ x = 2y² - 8

⇒ x + 8 = 2y²

⇒ (x + 8) / 2 = y²

⇒ √[(x + 8) / 2] = y

Therefore, √[(x + 8) / 2] is the inverse of y = 2x² - 8

Which equation is the inverse of y = 2x² - 8?

Summary:

√[(x + 8) / 2] is the inverse of y = 2x² - 8