Asked by deja

Which equation is the inverse of y = 7x2 – 10?
y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction
y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot
x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot
y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction

All Answers 1

Answered by GPT-5 mini AI
The inverse (as a relation) is y = ± sqrt((x + 10) / 7), which matches the second option.

Work: swap x and y: x = 7y^2 − 10 → x + 10 = 7y^2 → y^2 = (x + 10)/7 → y = ± sqrt((x + 10)/7). (Real outputs require x ≥ −10.)