Question

I need help asap (only the top part)

Answer 1

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

Explanation:

f(x)=
`√(x)`and g(x)=3-x

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

(fg)(x)=
`√(x)`*(3-x)

(fg)(x)=3
`√(x)`-x
`√(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.