7
lesson pretestMultiple Choice

Pretest

Question 7 • Math 3

Which equation is the inverse of y is equal to 16 x squared plus 1 ?

Answer
A
y is equal to the fraction with numerator plus or minus square root of x minus 1 end root and denominator 4
B
y is equal to plus or minus square root of x over 16 minus 1 end root
C
y is equal to the fraction with numerator plus or minus square root of x minus 1 end root and denominator 16
D
y is equal to the fraction with numerator plus or minus square root of x and denominator 4 minus 1 fourth

Explanation

To find the inverse, switch x and y: x = 16y² + 1. Subtract 1 and divide by 16 to get y² = (x − 1)/16, so y = ±√(x − 1)/4. This matches choice B, the fraction with numerator ±√(x − 1) and denominator 4.

AI-written and checked against the verified answer.

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