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WILL GIVE FULL 34 POINTS! Find the domain of the composite function f*g if f(x) = x/(x+3) and g(x) = 2/x

WILL GIVE FULL 34 POINTS! Find the domain of the composite function f*g if f(x) = x/(x+3) and g(x) = 2/x
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4 votes
WILL GIVE FULL 34 POINTS! Find the domain of the composite function f*g if f(x) = x/(x+3) and g(x) = 2/x

asked
User Sergey Karasev
by
7.7k points

1 Answer

4 votes
(f*g)(x)=2/x /2/x+3
2/x / (2+3x)/x =
2/x *. x/(2+3x) =
2x / x(2+3x)

undefined when denominator is 0 or when x=0 or x=-2/3. the domain is all real numbers except these 2
answered
User SJunejo
by
7.8k points
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