Posted by **Armando** on Sunday, June 5, 2011 at 10:48pm.

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**, Sunday, June 5, 2011 at 10:53pm
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**, Sunday, June 5, 2011 at 11:22pm
sorry, f o g

- Math - Domain of Composite -
**Reiny**, Sunday, June 5, 2011 at 11:29pm
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

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