SOLUTION: evaluate the following:and identify the domain Functions for the problem: f(x)= 2x^2+5x+7 and g(x)=x^3+2 1. (f+g)(x) 2. (f-g)(x) 3. (g.f)(x) 4. (f/g)(x)

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1.
You're simply going to add each like term from both equations


Domain is all real numbers since the domain of the 2 equations is all real numbers.



2.
Now you're going to subtract like terms.


Domain is all real numbers since the domain of the 2 equations is all real numbers.


3.
Now you're going to multiply each equation



Rewrite terms in descending degree. Domain is all real numbers since the domain of the 2 equations is all real numbers.



4.
This time you're going to divide the 2 equations

And this is the simplest form since it cannot be reduced further. The domain is all real numbers except x cannot equal