Question

If r(x)=3x-1 and s(x)=2x+1,which expression is equivalent to (r/s)(6)

Answer 1

`( (r)/(s) )(6)= (r(6))/(s(6))`

r(6)=3(6)-1=18-1=17
s(6)=2(6)+1=12+1=13

`( (r)/(s) )(6)= (r(6))/(s(6))= (17)/(13)`

Answer 2

`(r)/(s)(6)=(17)/(13)`

Explanation:

Given :
`r(x)=3x-1`

`s(x)=2x+1`

To Find: (r/s)(6)

Solution:

`r(x)=3x-1`

`s(x)=2x+1`

So,
`(r)/(s)(x)=(3x-1)/(2x+1)`

Substitute x =6

So,
`(r)/(s)(6)=(3(6)-1)/(2(6)+1)`

`(r)/(s)(6)=(17)/(13)`

Hence
`(r)/(s)(6)=(17)/(13)`