SOLUTION: I'm not sure this belongs here but... For the functions f(x)= sqrt 12x and g(x)= sqrt 3x. Evaluate each expression 1. (f+g)(3) 2. (f-g)(x) 3. (fg)(x) 4. (f/g)(x) Thanks, I'

Algebra ->  Square-cubic-other-roots -> SOLUTION: I'm not sure this belongs here but... For the functions f(x)= sqrt 12x and g(x)= sqrt 3x. Evaluate each expression 1. (f+g)(3) 2. (f-g)(x) 3. (fg)(x) 4. (f/g)(x) Thanks, I'      Log On


   

Question 450076: I'm not sure this belongs here but...
For the functions f(x)= sqrt 12x and g(x)= sqrt 3x. Evaluate each expression
1. (f+g)(3) 2. (f-g)(x) 3. (fg)(x) 4. (f/g)(x)
Thanks, I'm completely in the dark on this one.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1.


%28f%2Bg%29%28x%29=f%28x%29%2Bg%28x%29


%28f%2Bg%29%28x%29=sqrt%2812x%29%2Bsqrt%283x%29


%28f%2Bg%29%283%29=sqrt%2812%2A3%29%2Bsqrt%283%2A3%29


%28f%2Bg%29%283%29=sqrt%2836%29%2Bsqrt%289%29


%28f%2Bg%29%283%29=6%2B3


%28f%2Bg%29%283%29=9

========================================================
2.

%28f-g%29%28x%29=f%28x%29-g%28x%29


%28f-g%29%28x%29=sqrt%2812x%29-sqrt%283x%29


%28f-g%29%283%29=sqrt%2812%2A3%29-sqrt%283%2A3%29


%28f-g%29%283%29=sqrt%2836%29-sqrt%289%29


%28f-g%29%283%29=6-3


%28f-g%29%283%29=3

===================================================================
3.

%28fg%29%28x%29=f%28x%29g%28x%29


%28fg%29%28x%29=sqrt%2812x%29%2Asqrt%283x%29


%28fg%29%28x%29=sqrt%28%2812x%29%283x%29%29


%28fg%29%28x%29=sqrt%2836x%5E2%29


%28fg%29%28x%29=6x Note: x is a nonnegative number.


===================================================================

4.

%28f%2Fg%29%28x%29=f%28x%29%2Fg%28x%29


%28f%2Fg%29%28x%29=sqrt%2812x%29%2Fsqrt%283x%29


%28f%2Fg%29%28x%29=sqrt%28%2812x%29%2F%283x%29%29


%28f%2Fg%29%28x%29=sqrt%284%29


%28f%2Fg%29%28x%29=2