Answer:
[tex]\bigg(\displaystyle\frac{f}{g}\bigg)(5) = 270[/tex]
Step-by-step explanation:
We are given the following information in the question:
[tex]f(x) = 7 +4x\\\\g(x) = \displaystyle\frac{1}{2x}[/tex]
We have to find the values of [tex]\displaystyle\frac{f}{g}(x)[/tex]
[tex]\bigg(\displaystyle\frac{f}{g}\bigg)(x) = \frac{f(x)}{g(x)} = \frac{7 + 4x}{\frac{1}{2x}} = 2x(7+4x)[/tex]
Putting x = 5, we have:
[tex]\bigg(\displaystyle\frac{f}{g}\bigg)(x) = 2x(7+4x)\\\\\bigg(\displaystyle\frac{f}{g}\bigg)(5) = 2(5)(7+20)=270[/tex]
270 is the required value of [tex]\bigg(\displaystyle\frac{f}{g}\bigg)(5)[/tex].
