Question

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

Answer 1

It'd be too hard to comment the answer but here, lemme know if you aren't able to se it

Answer 2

we have

$y=2x^{2} -8$

Step 1

Exchanges the variables x for y and y for x

$x=2y^{2} -8$

Step 2

Isolate the variable y

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

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

Square root both sides

$y=(+/-)\sqrt{\frac{x+8}{2}}$

Step 3

Let

$f(x)^{-1}=y$

$f(x)^{-1}=(+/-)\sqrt{\frac{x+8}{2}}$

therefore

the answer is

The inverse is equal to $f(x)^{-1}=(+/-)\sqrt{\frac{x+8}{2}}$