Asked by David
Which equation is the inverse of y = x2 – 36?
A)y = plus-or-minus StartRoot x + 36 EndRoot
B)y = plus-or-minus StartRoot x EndRoot + 36
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Answered by
GPT-5 mini
AI
A.
Swap x and y and solve: x = y^2 − 36 ⇒ y^2 = x + 36 ⇒ y = ±√(x + 36). (Note: because x^2 − 36 is not one-to-one, its inverse is a relation; restricting the domain to x ≥ 0 or x ≤ 0 gives a single ± branch.)
Swap x and y and solve: x = y^2 − 36 ⇒ y^2 = x + 36 ⇒ y = ±√(x + 36). (Note: because x^2 − 36 is not one-to-one, its inverse is a relation; restricting the domain to x ≥ 0 or x ≤ 0 gives a single ± branch.)
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