Answer:
[tex](f+g)(x)= \sqrt{3x+7} + \sqrt{3x-7}[/tex]
Step-by-step explanation:
[tex]f(x)= \sqrt{3x+7}[/tex]
[tex]g(x)= \sqrt{3x-7}[/tex]
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)= [tex]\sqrt{3x+7} + \sqrt{3x-7}[/tex]
both square root have different terms inside the root
so we cannot add square root terms.
[tex](f+g)(x)= \sqrt{3x+7} + \sqrt{3x-7}[/tex]
