SOLUTION: How do I set up and solve this problem?? Let f(x) = 2x^2+x-3 and g(x)= x-1. Perform each function operation and then find the domain. 1. (f-g)(x)

Algebra ->  Functions -> SOLUTION: How do I set up and solve this problem?? Let f(x) = 2x^2+x-3 and g(x)= x-1. Perform each function operation and then find the domain. 1. (f-g)(x)      Log On


   

Question 748426: How do I set up and solve this problem??
Let f(x) = 2x^2+x-3 and g(x)= x-1. Perform each function operation and then find the domain.

1. (f-g)(x)
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
I assume you mean f(x) - g(x) which is
(1) (2x^2 + x - 3) - (x-1) or
(2) 2x^2 - 2 or
(3) 2*(x^2 - 1) or when we factor and set to zero (to find the domain) we get
(4) (x-1)*(x+1) = 0 or
(5) x = {-1,1}
Answer: the domain is x = {-1,1}