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

1 Answer | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

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.

We’ve answered 315,783 questions. We can answer yours, too.

Ask a question