f(x) = x2 - 16 and g(x) = x+4. Find and its domain. A. x - 4; all real numbers except x 4 B. x + 4; all real numbers except x -4 C. x + 4; all real nu

Question

Algebra 2 , function . Please help

Answer 1

From the (incomplete) answer set, I'm guessing that the problem is "Find f(x)/g(x) and its domain."

 

f(x)/g(x) = (x²-16)/(x+4) 

 

The domain is all real numbers except x = -4 (because the denominator is zero at x = -4 and division by zero is undefined.)

 

We can simplify by factoring the numerator:

 

(x²-16)/(x+4) = (x-4)(x+4)/(x+4) = (x-4)

 

The domain is the same as the original expression: all real numbers except x = -4