SOLUTION: find the domain of the composite function f*g f(x)=2/x+10,g(x)=60/x

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Question 147736: find the domain of the composite function f*g
f(x)=2/x+10,g(x)=60/x
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=2/x+10,g(x)=60/x
f(g(x))=f(60/x)=2/((60/x)+10)
=2/((10x+60)/x)
=2x/10x+60
=x/5x+30
=x/5(x+6)
The domain of f*g is all real numbers except x=-6
.
Ed