To simplify the expression (x^2 + 5x + 4)/(x + 4), we can first factor the numerator:
x^2 + 5x + 4 = (x + 1)(x + 4)
Now we can rewrite the original expression as:
(x + 1)(x + 4)/(x + 4)
We can then simplify the expression by canceling out the common factor of (x + 4) in the numerator and denominator, which gives:
x + 1
Therefore, the simplified expression is (x + 1). So the correct option is x+1.