Question

If f(x) = 3-2x and g(x) = 1 ÷ x+5 , what is the value of (f/g) (8)

Answer 1

`\bf \begin{cases} f(x)=3-2x\\ g(x)=(1)/(x+5) \end{cases}\qquad \left( \cfrac{f}{g} \right)(8)\implies \cfrac{f(8)}{g(8)}\implies \cfrac{3-2(8)}{(1)/((8)+5)} \\\\\\ \cfrac{3-16}{(1)/(13)}\implies \cfrac{-13}{(1)/(13)}\implies \cfrac{(-13)/(1)}{(1)/(13)}\implies \cfrac{-13}{1}\cdot \cfrac{13}{1}\implies -169`

Answer 2

`((f)/(g))(x)=(f(x))/(g(x))`

so

`((f)/(g))(8)=(f(8))/(g(8))`

find f(8) and g(8)

f(8)=3-2(8)=3-16=-13

`g(8)=(1)/(8+5)=(1)/(13)`

so

`(f(8))/(g(8))=(-13)/((1)/(13))=(-13)(13)=-169`


`((f)/(g))(8)=-169`