Question

Please help asap!!!!

Answer 1

Explanation:

Given functions are,

f(x) =
`√(x) +3`

g(x) = 4 -
`√(x)`

22). (f - g)(x) = f(x) - g(x)

=
`√(x)+3-(4 - √(x) )`

=
`√(x) +3-4+√(x)`

=
`2√(x)-1`

Domain of the function will be [0, ∞).

23). (f . g)(x) = f(x) × g(x)

=
`(√(x)+3)(4-√(x) )`

=
`4(√(x)+3)-√(x)(√(x)+3)`

=
`4√(x) +12-x-3√(x)`

=
`-x+√(x)+12`

Domain of the function will be [0, ∞).