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Find the domain of the composite function fog(x) where f(x) = 6/x + 5 and g(x) = 45/x.

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brianna09 | Student, Undergraduate | Honors

Posted November 1, 2011 at 11:12 AM via web

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Find the domain of the composite function fog(x) where f(x) = 6/x + 5 and g(x) = 45/x.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted November 1, 2011 at 2:13 PM (Answer #1)

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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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