Questions: For the pair of functions defined, find f+g, f-g, fg, and f/g. Give the domain of each. f(x)=x^2-9, g(x)=4x+16 (f+g)(x)= (Simplify your answer.) The domain of (f+g)(x) is (Type your answer in interval notation.) (f-g)(x)= (Simplify your answer.) The domain of (f-g)(x) is . (Type your answer in interval notation.) (fg)(x)= (Simplify your answer.) The domain of (fg)(x) is (Type your answer in interval notation.) (f/g)(x)= (Simplify your answer.) The domain of (f/g)(x) is . (Type your answer in interval notation.)

The result of the operation addition on $f(x)$ and $g(x)$ is $x^2 + 4*x + 7$, with a domain of all real numbers.

$f(x) = x^2 - 9$ $g(x) = 4*x + 16$

The operation to perform is $f(x) - g(x)$.

After simplification, the result is $x^2 - 4*x - 25$.

The domain of the resultant function is all real numbers.

The result of the operation subtraction on $f(x)$ and $g(x)$ is $x^2 - 4*x - 25$, with a domain of all real numbers.

$f(x) = x^2 - 9$ $g(x) = 4*x + 16$

The operation to perform is $f(x) * g(x)$.

After simplification, the result is $4_(x + 4)_(x^2 - 9)$.

The domain of the resultant function is all real numbers.

The result of the operation multiplication on $f(x)$ and $g(x)$ is $4_(x + 4)_(x^2 - 9)$, with a domain of all real numbers.

$f(x) = x^2 - 9$ $g(x) = 4*x + 16$

The operation to perform is $f(x) / g(x)$.

After simplification, the result is $(x^2 - 9)/(4*(x + 4))$.