Suppose that the functions g and f are defined as follows.

Question

Suppose that the functions g and f are defined as follows.

 

g(x)=(6+x)(3+x)

f(x)=-1-2x

 

A. Find (g/f)(-2)

B. Find all the values that are NOT in the domain of g/f

 

 

 

Answer 1

A. Find (g/f)(-2) = (6-2)(3-x) / (-1-2(-2))= 4 / 3

B. since this deals with f in the denominator, -1-2x must not be zero.

Setting-1-2x = 0 we discover that -1 = 2x gives the value disallowed; x ≠ -½