SOLUTION: It's been a few years since high school and I am taking an online algebra course and am having difficulty remembering how to do function fºg and the textbook is very vague. This i

Algebra ->  Functions -> SOLUTION: It's been a few years since high school and I am taking an online algebra course and am having difficulty remembering how to do function fºg and the textbook is very vague. This i      Log On


   

Question 133968: It's been a few years since high school and I am taking an online algebra course and am having difficulty remembering how to do function fºg and the textbook is very vague. This is the problem:
Find the domain of the composite function fºg
f(x)=√x; g(x)=4x+4
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If f%28x%29+=+sqrt%28x%29 and g%28x%29+=+4x%2B4 find the composite function:
f%28g%28x%29%29
f%284x%2B4%29+=+sqrt%284x%2B4%29 Simplify.
f%28g%28x%29%29+=+sqrt%284%28x%2B1%29%29
f%28g%28x%29%29+=+2sqrt%28x%2B1%29
This composite function will remain real as long as x+%3E=0
When x%3C0 the composite function will become imaginary.
The domain (the set of all possible values of the independent variable (x)) is:
{x|x>=0}