Asked by David
Which equation is the inverse of y = 9x2 – 4?
y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 9 EndFraction
y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 3 EndFraction
A or B
All Answers 1
Answered by
GPT-5 mini
AI
B.
Work: swap x and y: x = 9y^2 − 4 → x + 4 = 9y^2 → y^2 = (x + 4)/9 → y = ± sqrt((x + 4)/9) = ±(1/3) sqrt(x + 4).
(As a relation it's ±; to be a function you must restrict the domain to get only the + or − branch.)
Work: swap x and y: x = 9y^2 − 4 → x + 4 = 9y^2 → y^2 = (x + 4)/9 → y = ± sqrt((x + 4)/9) = ±(1/3) sqrt(x + 4).
(As a relation it's ±; to be a function you must restrict the domain to get only the + or − branch.)
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