Asked by htht

Which equation is the inverse of y = 16x2 + 1?
y = plus-or-minus StartRoot StartFraction x Over 16 EndFraction minus 1 EndRoot
y = StartFraction plus-or-minus StartRoot x minus 1 EndRoot Over 16 EndFraction
y = StartFraction plus-or-minus StartRoot x EndRoot Over 4 EndFraction minus one-fourth
y = StartFraction plus-or-minus StartRoot x minus 1 EndRoot Over 4 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Swap x and y and solve: x = 16y^2 + 1
x − 1 = 16y^2
y^2 = (x − 1)/16
y = ± sqrt((x − 1)/16) = ± (sqrt(x − 1))/4

So the correct choice is the fourth option: y = (± sqrt(x − 1))/4.