domain of composite function

[alice27]

The domain of the function f is {x: -1<= x <= 5}. If g(x) = 2f(-x), what is domain of function g? I would appreciate not only an answer but an explanation.

 

[pka]

The domain of the function f is {x: -1<= x <= 5}. If g(x) = 2f(-x), what is domain of function g? I would appreciate not only an answer but an explanation.

If \(\displaystyle -1\le x\le 5\) then \(\displaystyle ?~\le -x\le~?\)

 

[alice27]

@pka thanks for replying, I'm not sure I understand what you are saying though? :/

 

[Deleted member 4993]

@pka thanks for replying, I'm not sure I understand what you are saying though? :/

x = -1 → -x = ??

x = 5 → -x = ??