Which equation is the inverse of y = 100 - x^2


Asked by maham237 @ in Mathematics viewed by 368 People

Answered by maham237 @



Answer:

y=±\sqrt{100-x}

Step-by-step explanation:

To find the inverse of a function we need to replace y with x and vice versa and then solve for y

  • y = 100 - x² turns into x = 100 - y²
  • Solving for y we need to subtract 100 from both sides to get: x - 100 = -y²
  • Then we need to divide everything by -1 to get: 100 - x = y²
  • Then we need to take the square root of both sides to get y=\sqrt{100-x}

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