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