I REALLY need help with these three questions!

Question

 
If f(x) = x^2 + 2x + 1 and g(x) = x + 1, then what is f(x) / g(x), and what is the domain?
 

A: x + 1 [Domain: All real x except -1]

B: x - 1 [Domain: All real x except -1]

C: x + 1 [Domain: All real x except 1]

D: x + 1 [Domain: All real x except 0]

E: x - 1 [Domain: All real x except 1]
 
2. 
If f(x) = x - 7 and g(x) = 2x + 5, then what is f(x) * g(x)?
 

A: 2x^2 + 9x - 35

B: 3x - 2

C: 2x^2 - 9x - 35

D: 3x^2 - 9x - 35

E: 2x^2 - 2x - 35
 
If f(x) = x + 4 and g(x) = 3x - 5, then what is f(x) - g(x)?
 

A: 4x + 9

B: -2x - 1

C: -2x + 9

D: 4x - 1

E: 2x + 9

Answer 1

Why is this hard for you?  f*g means the product; just multiply those two polynomials together.  f-g means subtraction; f/g means division.

 

In the case of division, you must disallow division by zero, so in problem 1, where x+1 will be the denominator, you see that x = -1 must be disallowed (excluded from the domain).  All the others have no domain problems.