Question

Which equation can be simplified to find the inverse of y = 2x²?

0-2x²
O
y-1x²
O -y = 2x²
O x = 2y²
O

Answer 1

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

`y = 2x^2\hspace{5em}\stackrel{\textit{quick switcheroo}}{\boxed{x = 2y^2}}\implies \cfrac{x}{2}=y^2\implies \sqrt{\cfrac{x}{2}}=\stackrel{f^(-1)(x)}{y}`

Answer 2

D.) x = 2y²

Explanation:

You can find the inverse of an equation by swapping the positions of the "x" and "y" variables. Then, you would need to rearrange the equation to re-isolate the "y" variable.

As such, D.) is the correct option because it is identical to the original equation except that the variables are swapped.