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Verified Answer :

(r/s)(6)=\(\frac{r(6)}{s(6)}= \frac{3(6)-1}{2(6)+1}= \frac{18-1}{12+1}= \frac{17}{13}\)

Answer:

\(\frac{r(6)}{s(6)}=\frac{17}{13}\)

Step-by-step explanation:

Given: r(x)=3x-1 and s(x)= 2x+1

We have to find \(\frac{r}{s}(6)\)

That is to find  \(\frac{r}{s}(6)=\frac{r(6)}{s(6)}\)

first find r (6) and s(6) , then substitute, we get,

r(6)

r(x) = 3x - 1

Put x = 6 , we get

r(6) = 3(6) -1 = 18 - 1 = 17

s(6)

s(x) = 2x + 1

Put x = 6 , we get

s(6) = 2(6) + 1 = 12 + 1 = 13

Thus,  

\(\frac{r(6)}{s(6)}=\frac{17}{13}\)