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