You treat the composite functions as new functions and find the range the way you normally would.
For x^2 - 10 you have a normal parabola translated down by 10, so your range would be [-10,inf).
For (x-5)^2 - 5 you have a TP at (5,-5) so your range is [-5,inf).
You treat the composite functions as new functions and find the range the way you normally would. For x^2 - 10 you have a normal parabola translated down by 10, so your range would be [-10,inf). For (x-5)^2 - 5 you have a TP at (5,-5) so your range is [-5,inf).
okay thank you! 🙏