Another HSC Q

Oh, before I just wrote 3, but it's the other way around; -3. So in order for g(x) to be a subset of the domain of f(x), c = -3
 
Correct. My advice is to now go back and read the original question. And write out your answer with justification. Notice how a graph is very helpful as it often is in these type of questions.
 
so if i wrote if x= -4, y = (-4)^2 + 4*4 + 3, would that be right? And no.
 
AlonzoN said:
so if i wrote if x= -4, y = (-4)^2 + 4*4 + 3, would that be right? And no.
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Yes thats correct but not relevant. If x<= -4, then range is y>=35 which is also a subset of >=0, but it's not relevant here. You've found the answer c= -3. Remember -3 is larger than -4.
 
If you are in lockdown, I'd ask your teacher if you can have access to the worked solutions, after you've tried all the questions of course.
 
Beer soaked suggestion follows.

With all the editing involved, it might be a good idea to post a screenshot of the problem to save time.
 
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