Final answer:
To find f(x) + g(x), substitute the values of f(x) and g(x) into the expressions and combine like terms.
Step-by-step explanation:
To find f(x) + g(x), we first need to find the values of f(x) and g(x).
Given f(x) = x + 4 and g(x) = x^2 - 4x + 3, we substitute these values into the expressions.
So, f(x) + g(x) = (x + 4) + (x^2 - 4x + 3).
Combining like terms, we have f(x) + g(x) = x^2 - 3x + 7.
Therefore, the correct option is b) x^2 - 3x + 7.