SOLUTION: f(x)=sqrt 3x ; g(x)=sqrt 12x solve: (f+g)(x) I thought (3+12)sqrt x but thats not it.

Algebra ->  Functions -> SOLUTION: f(x)=sqrt 3x ; g(x)=sqrt 12x solve: (f+g)(x) I thought (3+12)sqrt x but thats not it.       Log On


   

Question 685987: f(x)=sqrt 3x ; g(x)=sqrt 12x
solve:
(f+g)(x)
I thought (3+12)sqrt x but thats not it.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=sqrt%283x%29 ; g(x)=sqrt%2812x%29
solve:
(f+g)(x)=sqrt%283x%29%2Bsqrt%2812x%29
(f+g)(x)=sqrt%283x%29%2Bsqrt%284%2A3x%29
(f+g)(x)=sqrt%283x%29%2B2sqrt%283x%29
(f+g)(x)=highlight%283sqrt%283x%29%29
***********************************
Explanation....first you simplify the radicals. You can only add and subtract like terms. Radicals are only like terms when the indexes and roots are exactly the same.
Happy Calculating!