Find the domain of the composite function fog(x) where f(x) = 6/x + 5 and g(x) = 45/x.
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The functions given are f(x) = 6/x + 5 and g(x) = 45/x
fog(x) = f(g(x)) = f(45/x) = 6/(45/x) + 5
=> 6x/45 + 5
=> (2/15)*x + 5
The value of (2/15)*x + 5 is real for all real values of x.
The domain of fog(x) is R.
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