Respuesta :

mvelazcoa

Answer:

[tex]x=2 y^{2}[/tex]

Step-by-step explanation:

to get the inverse of

[tex]y=2x^2[/tex]

we have to change its x by a y and its y by an x and then isolate the new y

[tex]x=2y^{2} \\ \frac{x}{2} =y^{2} \\\ \sqrt{\frac{x}{2} } =y[/tex]

The equation that can be simplified to find the inverse of y = 2x^2 is x = 2y^2

How to determine the equation

Note that the inverse of y = 2x^2 is √x/2 = y

x = 2y^ 2

Make 'y^2' the subject of the formula

x/2 = y^2

Now, make 'y' the subject of formula by taking the square root of both sides

√x/2 = √y^2

Square root cancels the square

√x/2 = y

Thus, the equation that can be simplified to find the inverse of y = 2x^2 is x = 2y^2

Learn more about inverse equations here:

https://brainly.com/question/14391067

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