The function below does not have an inverse. Restrict the domain of the function so that the restricted function has an inverse. f(x) = 5(x + 8)2 - 5 *I can get as far as finding the inverse: sqrt(1/5x+1)-8 I just don\'t know how to restrict this. Solution The funcion will have an inverse in an inteval in which it either monotonically increases or monotonicall decreases The given function decreases from - infinity to -8 and then increases fro -8 to infinity So, domain = [-8, infinity).

1. The function below does not have an inverse. Restrict the domain of the function so that the
restricted function has an inverse.
f(x) = 5(x + 8)2 - 5
*I can get as far as finding the inverse: sqrt(1/5x+1)-8 I just don't know how to restrict this.
Solution
The funcion will have an inverse in an inteval in which it either monotonically increases or
monotonicall decreases
The given function decreases from - infinity to -8 and then increases fro -8 to infinity
So, domain = [-8, infinity)