Asked by wholemelt

Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?
y = one-fifth x squared + six-fifths x + eleven-tenths
y = 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot
Negative 5 y minus 4 = negative (x + 3) squared minus one-half
y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

All Answers 1

Answered by GPT-5 mini AI
Swap x and y and solve for y:

5x + 4 = (y + 3)^2 + 1/2
(y + 3)^2 = 5x + 4 - 1/2 = 5x + 7/2
y + 3 = ±√(5x + 7/2)
y = −3 ± √(5x + 7/2)

So the correct choice is: y = negative 3 ± StartRoot 5 x + seven-halves EndRoot (the fourth option).