SOLUTION: Find the domain of the composite function f g. f(x)=√x;g(x)=4x=12 A) {x|x≤-3 or x≥0} B) {x|x≥-3} C) {x|x≥0} D) {x|x is any real number} co

Algebra ->  Functions -> SOLUTION: Find the domain of the composite function f g. f(x)=√x;g(x)=4x=12 A) {x|x≤-3 or x≥0} B) {x|x≥-3} C) {x|x≥0} D) {x|x is any real number} co      Log On


   



Question 622710: Find the domain of the composite function f g.
f(x)=√x;g(x)=4x=12
A) {x|x≤-3 or x≥0}
B) {x|x≥-3}
C) {x|x≥0}
D) {x|x is any real number}
could someone please assist me with this I have no clue

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=sqrt%28x%29 exists only for non-negative values of the variable x%3E=0
g%28x%29=4x%2B12 (I think that is what you meant) is negative when x%3C-3.
In those cases, you can calculate g%28x%29 but f%28g%28x%29%29=f%284x-12%29 does not exist.
For all other values of x (when x%3E=-3) f%28g%28x%29%29 exists.
The domain for f%28g%28x%29%29 is all the x such that x%3E=-3 so the answer is
highlight%28B%29.