Simplify the complex fraction.
four over x plus three over open parentheses one over x closed parentheses plus three
To simplify the complex fraction, we need to find a common denominator for all the terms in the denominator:
4/x + 3/(1/x) + 3
Since 1/x is the same as x, we can rewrite the fraction as:
4/x + 3x + 3
Now, we need to find a common denominator for 4/x, 3x, and 3, which is x:
(4 + 3x^2 + 3x) / x
Now combine the terms in the numerator:
4 + 3x^2 + 3x
Simplifying further, we get the final answer:
3x^2 + 3x + 4 / x