Answer:
The value of the function, (f/g)(5), when evaluated is calculated as: (f/g)(5) = 270.
Explanation:
Given the functions, f(x) = 7 + 4x and g(x)=1/2x, let's find (f/g)(5):
(f/g)(5) = (7 + 4x)/(1/2x)
(f/g)(5) = (7 + 4x)(2x)
(f/g)(5) = 14x + 8x²
Plug in the value of x into the expression
(f/g)(5) = 14(5) + 8(5²)
(f/g)(5) = 70 + 200
(f/g)(5) = 270