Answer:
\(\frac{54}{5}\)
Step-by-step explanation:
The meaning of \(\left ( \frac{f}{g}\right)(5)\) is \(\frac{f(5)}{g(5)}\). So we must find \(f(5)\) and \(g(5)\) and then make the quocient.
You have \(f(x)=7+4x\) and therfore you have to change x by 5 to obtain \(f(5)\):
\(f(5)=7+4(5)=7+20=27\)
Do the same for g(5) with \(g(x)=\frac{1}{2}x\)
\(g(5)=\frac{1}{2}(5)=\frac{5}{2}\)
Finally we have
\(\left(\frac{f}{g} \right)(5)=\frac{f(5)}{g(5)}=\frac{27}{\frac{5}{2}}=\frac{54}{5}\)
