Question

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

Answer 1

`\large\boxed{x=2y^2}`

Explanation:

`y=2x^2\\\\\text{exchange x to y and vice versa:}\\\\x=2y^2\\\\\text{solve for y:}\\\\2y^2=x\qquad\text{divide both sides by 2}\\\\y^2=(x)/(2)\to y=\sqrt{(x)/(2)}`

Answer 2

D.
`x=2y^2`

Explanation:

We have been given an equation
`y=2x^2`. We are asked to choose the equation that could be solved to get the inverse of given equation.

We know that to find the inverse of a function, we interchange the x and y variables and then we solve for y.

Upon interchanging x and y variables in our given equation, we will get:

`x=2y^2`

Therefore, the equation
`x=2y^2` can be simplified to find the inverse of our given equation and option D is the correct choice.