21
QuizMultiple Choice

Square Root and Absolute Value Functions — Test

Question 21 • Algebraic Reasoning

Which equation can be simplified to find the inverse of y is equal to 2 x squared ?

Answer
A
negative y is equal to 2 x squared
B
1 over y is equal to 2 x squared
C
x is equal to 2 y squared
D
y is equal to 1 half x squared

Explanation

To find an inverse, switch the roles of x and y in the original equation y = 2x². This gives x = 2y², which is choice B. Solving that equation for y would give the inverse relation y = ±√(x/2). Because the original function is not one-to-one over all real numbers, its inverse is a relation unless its domain is restricted.

AI-written and checked against the verified answer.

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