Answer: -169
Step-by-step explanation:
Given functions: [tex]f(x)=3-2x\text{ and } g(x)=\dfrac{1}{x+5}[/tex]
The quotient function (f/g) is given by :_
[tex](f/g)(x)=\dfrac{f(x)}{g(x)}\\\\\Rightarrow (f/g)(x)=\dfrac{3-2x}{\dfrac{1}{x+5}}[/tex]
At x = 8 , we have
[tex](f/g)(8)=\dfrac{3-2(8)}{\dfrac{1}{8+5}}\\\\\Rightarrow\ (f/g)(8)=\dfrac{-13}{\dfrac{1}{13}}\\\\\Rightarrow\ (f/g)(8)=-13\times13=-169[/tex]
Hence, the value of [tex](f/g)(8)=-169[/tex]
