Answer:
Domain: x[tex]\geq[/tex]0 or [0,infinity)
Step-by-step explanation:
f(x)= [tex]\sqrt{x}[/tex]and g(x)=3-x
We are told to multiply the two functions so we multiply:
(fg)(x)=[tex]\sqrt{x}[/tex]*(3-x)
(fg)(x)=3[tex]\sqrt{x}[/tex]-x[tex]\sqrt{x}[/tex]
Now this is a square root function and it can only go to the right because the square roots of numbers less than 0 are imaginary numbers. Therefore the domain must be greater than or equal to 0.
