Question

The inverse of the function y = 9 - x 2, for all values x ≥ 3, is _____, where x can take values _____.

Show your work

Answer 1

y = 9 - x^2
Steps to finding the inverse:
1. switch x & y
x = 9 - y^2
2. solve for y
x = 9 - y^2
subtract 9 from both sides
x - 9 = y^2
take the square root of both sides
+ - sqrt(x - 9) = y
x > = 9