Answer:
(g+f)(x/4) = x^2/16 + 3x/4
Explanation:
To find (g+f)(x/4), we must first find the expressions for g(x) and f(x) and then add them together.
g(x) = x^2 + 4
f(x) = 3x - 4
So (g+f)(x) = g(x) + f(x) = x^2 + 4 + 3x - 4 = x^2 + 3x + 0
Now we can substitute x/4 for x in the expression:
(g+f)(x/4) = (x/4)^2 + 3(x/4) + 0
Multiplying it out
(g+f)(x/4) = (x^2/16) + (3x/4) + 0
so (g+f)(x/4) = x^2/16 + 3x/4