Answer:
Domain: All real numbers
Range: [tex]2\le x\le4[/tex]
Step-by-step explanation:
The given function is
[tex]y=\cos(-2x+180\degree)+3[/tex]
The cosine function is continuous everywhere so the domain is all real numbers.
The range of the parent function [tex]y=\cos(x)[/tex]
is [tex]-1\le x\le 1[/tex].
The given function has been shifted up 3 units.
The range is
[tex]-1+3\le x\le 1+3[/tex].
[tex]2\le x\le 4[/tex].
See graph
