3
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 3 • Algebra II

Which equation is the inverse of y is equal to 9 x squared minus 4 ?

Answer
A
y is equal to the fraction with numerator plus or minus square root of x plus 4 end root and denominator 9
B
y is equal to the fraction with numerator plus or minus square root of x plus 4 end root and denominator 3
C
y is equal to the fraction with numerator plus or minus square root of x and denominator 3 plus 2 thirds
D
y is equal to plus or minus square root of x over 9 plus 4 end root

Explanation

To find the inverse, switch x and y in the original equation: x = 9y² − 4. Add 4 and divide by 9 to get y² = (x + 4)/9, so y = ±√(x + 4)/3. This matches the choice with plus or minus the square root of x plus 4, divided by 3.

AI-written and checked against the verified answer.

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