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Which equation can be simplied to find the inverse of y=2xsquared

User XzKto
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1 Answer

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The inverse of the function y = 2x2 is found by switching x and y and solving for the new y, leading to y = ±√(x/2). Since the original function is a parabola with positive y-values, the negative root is disregarded, and the inverse is y = √(x/2).

To find the inverse of the given function
\(y = 2x^2\), you can follow these steps:

Step 1: Replace y with x and x with y:


\[ x = 2y^2 \]

Step 2: Solve for y:


\[ (x)/(2) = y^2 \]

Step 3: Take the square root of both sides:


\[ y = \pm\sqrt{(x)/(2)} \]

So, the inverse function is
\(y = \pm\sqrt{(x)/(2)}\).

User Nibra
by
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