SOLUTION: Given f(x)= x - 6 / x-1, g(x)=x-1; find the following and their domains A) (f+g)(x) B) (f•g)(x)

Algebra ->  Functions -> SOLUTION: Given f(x)= x - 6 / x-1, g(x)=x-1; find the following and their domains A) (f+g)(x) B) (f•g)(x)      Log On


   

Question 1056795: Given f(x)= x - 6 / x-1, g(x)=x-1; find the following and their domains
A) (f+g)(x)
B) (f•g)(x)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29%2Bg%28x%29=%28x-6%29%2F%28x-1%29%2B1%2F%28x-1%29
Obviously domain must exclude +1.
All other real numbers are the domain.

f%28x%29g%28x%29=%28%28x-6%29%2F%28x-1%29%29%28x-1%29
Same thing here. The function is NOT the result of cancleling the factor of 1. The product is still undefined at x=1. That is the way the product is written, formed.