Answer:
Let f(x) and g(x) be the function then;
\((f+g)(x) = f(x)+g(x)\)
Given the functions:
\(f(x) = 2x+21\)
\(g(x) = x-24\)
Solve for : \((f+g)(3)\)
\((f+g)(3) = f(3)+g(3)\) .....[1]
Put x = 3 in f(x) and g(x) we have;
\(f(3) = 2(3)+21 = 6+21 = 27\)
and
\(g(3) = 3-24 = -21\)
Substitute these values in [1] we have;
\((f+g)(3) =27 +(-21) = 27-21 = 6\)
Therefore, the value of \((f+g)(3)\) is 6
