Answer: 270
Step-by-step explanation:
Given: \(f(x)=7+4x\) and \(g(x)=\dfrac{1}{2x}\)
Then, the rational function (f/g) is given by :-
\((f/g)(x)=\dfrac{f(x)}{g(x)}\\\\\Rightarrow\ (f/g)(x)=\dfrac{7+4x}{\dfrac{1}{2x}}\\\\={2x(7+4x)}\)
Now, the value of (f/g) is given by :-
\((f/g)(5)=2(5)(7+4(5))=270\)
Hence, the value of (f/g) (5) = 270.