Posted by Armando on .
Find the domain of the composite function . Please show all of your work.
f(x) = sqrt(x); g(x) = 2x + 12

Math  Domain of Composite 
Reiny,
You do not state what composite function you want.
Do you want f(g(x)) or g(f(x)) or f(x)*g(x) .....
Does the following reply answer your question?
http://www.jiskha.com/display.cgi?id=1307080009 
Math  Domain of Composite 
Armando,
sorry, f o g

Math  Domain of Composite 
Reiny,
f o g
= f(g(x))
= f(2x+12)
= √(2x+12)
Remember we cannot take the √ of a negative, so the domain is
2x + 12 ≥ 0
2x ≥ 12
x ≥ 6