SOLUTION: f(x)=(3-x)(3+x) and g(x)=3-x. Find (f/g)(x)

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Question 148157: f(x)=(3-x)(3+x) and g(x)=3-x. Find (f/g)(x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28f%2Fg%29%28x%29=%28f%28x%29%29%2F%28g%28x%29%29 Start with the given property


%28f%28x%29%29%2F%28g%28x%29%29=%28%283-x%29%283%2Bx%29%29%2F%283-x%29 Plug in f%28x%29=%283-x%29%283%2Bx%29 and g%28x%29=3-x


Highlight the common terms.


%28f%28x%29%29%2F%28g%28x%29%29=%28cross%28%283-x%29%29%283%2Bx%29%29%2Fcross%28%283-x%29%29 Cancel out the common terms.


%28f%28x%29%29%2F%28g%28x%29%29=3%2Bx Simplify.


%28f%28x%29%29%2F%28g%28x%29%29=x%2B3 Rearrange the terms.