SOLUTION: Find the domain of the composite function f∘g. f(x) = Square Root X ; g(x) = 4x + 8

Algebra ->  Functions -> SOLUTION: Find the domain of the composite function f∘g. f(x) = Square Root X ; g(x) = 4x + 8      Log On


   

Question 1178520: Find the domain of the composite function f∘g.

f(x) = Square Root X ; g(x) = 4x + 8
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+sqrt%28x%29
+g%28x%29+=+4x+%2B+8
f∘g=f%28g%28x%29%29
f∘g=f%284x+%2B+8%29
f∘g=sqrt%284x+%2B+8%29
domain:

4x+%2B+8=0
4x+=-8
x+=-2
{ x element R : x%3E=-2 } (assuming a function from reals to reals)

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%284x+%2B+8%29%29+