SOLUTION: Hi, I'm doing combining functions problems right now, and so far, I have been stuck on this one. I've looked in the textbook, but have not found any similar problems like it. So th

Algebra ->  Functions -> SOLUTION: Hi, I'm doing combining functions problems right now, and so far, I have been stuck on this one. I've looked in the textbook, but have not found any similar problems like it. So th      Log On


   

Question 355208: Hi, I'm doing combining functions problems right now, and so far, I have been stuck on this one. I've looked in the textbook, but have not found any similar problems like it. So thanks for the help in advance!
Given f(x)=1/2x and g(x)=1/3x, find (fog)(x).
a). 1/6x^2
b). 2/3
c). 3/2x
d). 3x/2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%281%2F2%29x
g%28x%29=%281%2F3%29x
.
.
.
f%28g%29=%281%2F2%29g
f%28g%29=%281%2F2%29%281%2F3%29x
highlight%28f%28g%29=%281%2F6%29x%29
.
.
.
Since it isn't one of the choices, f(x) and g(x) must not be as I listed them
please use parentheses to differentiate numerator and denominator in your functions.