Question

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

Answer 1

`y=`±
`√(100-x)`

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=√(100-x)`