Question

Question #25f72

Answer 1

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

Explanation:

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

`(f(x))/(g(x))=(3-2x)/(1/(x+5)`

`"to evaluate "(f/g)(8)" substitute x = 8 into "(f/g)(x)`

`rArr(f/g)(color(red)(8))=(3-(2xxcolor(red)(8)))/(1/(color(red)(8)+5))=(-13)/(1/13)`

`color(white)(xxxxxxxxxxxxxxxxxx)=-13xx13/1=-169`

Answer 2

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

Explanation:

`f(x)=3-2x`
`g(x)=1/(x+5)`
`(f/g)(x)=(3-2x)*(x+5)`
`(f/g)(8)=(3-2*8)*(8+5)=(3-16)*(13)=(-13)*(13)=-169`