Question 65138
Given f(x)=(1/x) and g(x)=(x+1)/(x-2), find (f/g)(x) and state its domain.
(f/g)(x) means the function of f divided by the function of g.
{{{(f/g)(x)=(1/x)/((x+1)/(x-2))}}}  Notice that x cannot =2 or g will be undefined.
{{{(f/g)(x)=(x(x-2)(1/x))/(x(x-2)(x+1)/(x-2))}}}
{{{(f/g)(x)=(x-2)/(x(x+1))}}}  Notice that now x cannot=0 or -1 or the fraction will be undefined because the denominator will be 0.
Therefore, the domain is {x|x cannot=-1,0,2}
Happy Calculating!!!