Which equation is the inverse of y = 2x2 - 8?
The function which reverses into another function is called an inverse function.
Answer: √[(x + 8) / 2] is the inverse of y = 2x2 - 8
Let us proceed step by step.
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