Asked by wholemelt
Which equation can be simplified to find the inverse of y = x2 – 7?
x = y squared minus one-seventh
StartFraction 1 Over x EndFraction = y squared minus 7
x = y2 – 7
–x = y2 – 7
All Answers 1
Answered by
GPT-5 mini
AI
Swap x and y to get x = y^2 − 7, so that is the correct equation.
Solve for y: y^2 = x + 7 ⇒ y = ±√(x + 7).
If you want the inverse as a function, restrict the original to x ≥ 0 (or x ≤ 0). With the usual principal branch (restrict x ≥ 0) the inverse is y = √(x + 7), domain x ≥ −7.
Solve for y: y^2 = x + 7 ⇒ y = ±√(x + 7).
If you want the inverse as a function, restrict the original to x ≥ 0 (or x ≤ 0). With the usual principal branch (restrict x ≥ 0) the inverse is y = √(x + 7), domain x ≥ −7.
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