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)

Question 74672: 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)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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
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