# Which equation is the inverse of y = 2x^{2 }- 8?

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

## Answer: √[(x + 8) / 2] is the inverse of y = 2x^{2 }- 8

Let us proceed step by step.

**Explanation:**

From the given data in the question, we have y = 2x^{2 }- 8

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

Hence, we get x = 2y^{2 }- 8

⇒ x = 2y^{2 }- 8

⇒ x + 8 = 2y^{2}

⇒ (x + 8) / 2 = y^{2}

⇒ √[(x + 8) / 2] = y

### Therefore, √[(x + 8) / 2] is the inverse of y = 2x^{2 }- 8

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