Final answer:
To add the rational expressions (7x+3)/(x-7)+(1)/(x+4), find the common denominator and simplify the expression.
Step-by-step explanation:
When adding rational expressions, you need to find a common denominator. In this case, the common denominator is (x - 7)(x + 4).
Next, you need to multiply each fraction by the missing factors from the other fraction to get the common denominator.
So, the expression simplifies to ((7x + 3)(x + 4) + (x - 7))/(x - 7)(x + 4).
Finally, combine like terms in the numerator and simplify if possible.