Answer:
[tex]y=[/tex]±[tex]\sqrt{100-x}[/tex]
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 [tex]y=\sqrt{100-x}[/tex]
