Question

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

Answer 1

Answer:

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

Step-by-step explanation:

$y=2x^2\\\\\text{exchange x to y and vice versa:}\\\\x=2y^2\\\\\text{solve for y:}\\\\2y^2=x\qquad\text{divide both sides by 2}\\\\y^2=\dfrac{x}{2}\to y=\sqrt{\dfrac{x}{2}}$

Answer 2

Answer:

D. $x=2y^2$

Step-by-step 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.