SOLUTION: For the real- valued functions f(x)= (x-4)/(x+3) and g(x)=4x-15 , what is the composition f(g(x)) and its domain using interval notation?

Question 531531: For the real- valued functions f(x)= (x-4)/(x+3) and g(x)=4x-15 , what is the composition f(g(x)) and its domain using interval notation?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For the real- valued functions f(x)= (x-4)/(x+3) and g(x)=4x-15 , what is the composition f(g(x)) and its domain using interval notation?
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f(g(x)) = f(4x-15) = (4x-15-4)/(4x-15+3) = (4x-19)/(4x-12)
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Domain: All Real Numbers except x = 3
Int. Notation: (-oo,3)U(3,+oo)
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Cheers,
Stan H.
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