Question

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

Answer 1

Answer:

$y = \sqrt{\frac{x+8}{2}}$

Step-by-step explanation:

Here, the given equation,

$y=2x^2-8$

For finding the inverse, interchange x and y,

$x=2y^2-8$

Add 8 on both sides,

$x+8=2y^2$

Divide both sides by 2,

$\frac{x+8}{2}=y^2$

Taking square root on both sides,

$\sqrt{\frac{x+8}{2}}=y$

$\implies y = \sqrt{\frac{x+8}{2}}$

Which is the required inverse of the given equation.

Answer 2

I posted an image instead.