SOLUTION: Given f(x)= 6/x+7 and g(x)= 2/x-1 find (fg)(x) and its domain

Question 63095: Given f(x)= 6/x+7 and g(x)= 2/x-1 find (fg)(x) and its domain
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Given f(x)= 6/x+7 and g(x)= 2/x-1 find (fg)(x) and its domain

The denominators are not allowed to =0 so the domain is x can = all real numbers except x cannot=-7,1.
Set builder notation {x|x not=-7,1}
Interval notation (-infinity,-7)U(-7,1)U(1,infinity)
Depending on your teacher or book you may have to foil the denominator.

Happy Calculating!!!
RELATED QUESTIONS
3.14 Given f(x)=x-4 and g(x)=4x^2, find f+g, f-g, fg, and f/g. Determine the domain... (answered by ikleyn)

3.14 Given that f(x)=2x+7 and g(x)=5x^2, find f+g, f-g, fg, and f/g. Determine the... (answered by nerdybill)

given f(x)= 5x + 7 and g(x) = 5x-1 find... (answered by Fombitz,jessica43)

Given f(x)=(1/x) and g(x)=(x+1)/(x-2), find (f/g)(x) and state its... (answered by funmath)

Given f(x)=1/x and g(x)=(x+1)/(x-2), find f/g(x) and state its... (answered by praseenakos@yahoo.com)

Given f(x)=3x+2 and g(x)= -2x+1 a) write an equation for (f+g)(x) b) determine (f+g)(6) (answered by josgarithmetic)

Given that f(x) =x^2-3 and g(x)=2x+1 find 1)(fg)(0)... (answered by stanbon)

Given that f(x)=2^2-11 and g(x) = 7x+1, find (fg) -(1/7), if it exists (answered by Alan3354)

given f(x)=-3x^2+x and g(x)=5, find f+g, f-g, fg, and... (answered by josgarithmetic)