SOLUTION: Find the domain of the composite function f*g. f(x)=x^2+9; g(x)=sqrt x-3

Algebra ->  Functions -> SOLUTION: Find the domain of the composite function f*g. f(x)=x^2+9; g(x)=sqrt x-3      Log On


   

Question 684992: Find the domain of the composite function f*g. f(x)=x^2+9; g(x)=sqrt x-3
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
f(g(x)) = %28sqrt%28x-3%29%29%5E2+%2B+9
...
square root and square are inverse functions, so
f(g(x)) = x-3 + 9
f(g(x)) = x + 6
...
The domain of f(g(x)) is all real numbers.
.....................
Have more questions?
Email: HomeworkHelpers@readingboosters.com
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.