which equation can be simplified to find the inverse of y = 2x²?\n\\(\\frac{1}{y}=2x^{2}\\)\n\\(y =…

which equation can be simplified to find the inverse of y = 2x²?\n\\(\\frac{1}{y}=2x^{2}\\)\n\\(y = \\frac{1}{2}x^{2}\\)\n\\(-y = 2x^{2}\\)\n\\(x = 2y^{2}\\)

which equation can be simplified to find the inverse of y = 2x²?\n\\(\\frac{1}{y}=2x^{2}\\)\n\\(y = \\frac{1}{2}x^{2}\\)\n\\(-y = 2x^{2}\\)\n\\(x = 2y^{2}\\)

Answer

Explanation:

Step1: Recall inverse - function method

To find the inverse of a function (y = f(x)), we swap (x) and (y).

Step2: Apply to given function

Given (y = 2x^{2}), swapping (x) and (y) gives (x = 2y^{2}).

Answer:

D. (x = 2y^{2})