Question

F as a function of x is equal to the square root of quantity 6 x plus 9 , f as a function of x is equal to the square root of quantity 6 x minus 9

Find (f + g)(x). (5 points)

Answer 1

A.
`√(6x+9) +√(6x-9)`

Explanation:

We are given the functions f(x) and g(x) as,

`f(x)=√(6x+9)`

`g(x)=√(6x-9)`

It is required to find the function ( f+g ) i.e. ( f+g ) (x)

So,
`(f+g)(x)=f(x)+g(x)`

i.e.
`(f+g)(x)=√(6x+9)+√(6x-9)`

Hence, we get that
`(f+g)(x)=√(6x+9)+√(6x-9)`.

So, the first option is correct.