Answer:
Option 1st is correct.
Step-by-step explanation:
We have been given the function: [tex]f(x)=-|x-4|+5[/tex]
So, range of the function is the values that y will take.
Absolute function [tex]-|x-4|[/tex] will always gives negative value because value inside the modulus function will be positive
But we have minus sign outside it will always give negative value.
So, Range will be: [tex](-\infty,5][/tex]
Any value in first parent function that is modulus function will always give value less than or equal to 5.
Therefore, close bracket with 5.
Therefore, Option 1st is correct.
