SOLUTION: How do you find the domain of: (f + g)(x), if f(x)=x+2, g(x)=x^3-1. Specifically, how do you determine it step by step?

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Question 937847: How do you find the domain of: (f + g)(x), if f(x)=x+2, g(x)=x^3-1. Specifically, how do you determine it step by step?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

find the domain of: %28f+%2B+g%29%28x%29, if f%28x%29=x%2B2,+g%28x%29=x%5E3-1
first find
%28f+%2B+g%29%28x%29 which is same as f%28x%29+%2B+g%28x%29
if f%28x%29=x%2B2,+g%28x%29=x%5E3-1, then
%28f+%2B+g%29%28x%29=x%2B2%2Bx%5E3-1
%28f+%2B+g%29%28x%29=x%5E3%2Bx%2B2-1
%28f+%2B+g%29%28x%29=x%5E3%2Bx%2B1
the domain is: R (all real numbers)
or (-infinity,infinity )

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3%2Bx%2B1%29+