Question

F(x) = Square root of quantity three x plus seven. , g(x) = Square root of quantity three x minus seven.

Find (f + g)(x).

Answer 1

f(x) = sqrt(3x+7)
g(x) = sqrt(3x-7)

(f+g)(x) = sqrt(3x+7) +sqrt(3x-7)

Answer 2

`(f+g)(x)= √(3x+7) + √(3x-7)`

Explanation:

`f(x)= √(3x+7)`

`g(x)= √(3x-7)`

we need to find (f+g)(x)

(f+g)(x)= f(x) + g(x)

replace f(x) and g(x) expressions

(f+g)(x)= f(x) + g(x)=
`√(3x+7) + √(3x-7)`

both square root have different terms inside the root

so we cannot add square root terms.

`(f+g)(x)= √(3x+7) + √(3x-7)`