Question

I need help asap (only the top part)

Answer 1

Answer:

Domain: x$\geq$0 or [0,infinity)

Step-by-step explanation:

f(x)= $\sqrt{x}$and g(x)=3-x

We are told to multiply the two functions so we multiply:

(fg)(x)=$\sqrt{x}$*(3-x)

(fg)(x)=3$\sqrt{x}$-x$\sqrt{x}$

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.