Given f(x) = x + 2 and g(x) = x2 – 4, find the function (g/f)(x).

Question

A.) (g/f)(x)=x-2,excluded value:x=-2

 

B.)(g/f)(x) =x- 4, excluded value: x=-4

 

C.) (g/f) (x)=x-4,excluded value:x=4

 

D.) (g/f) (x)=x-2, excluded value:x=2

Answer 1

(g/f)(x) = g(x) / f(x) = (x² - 4) / (x + 2) = (x - 2)(x + 2) / (x + 2)

If x ≠ -2, then this simplifies to x - 2. Answer (A) is correct.