Question

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

Answer 1

Answer:

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

Step-by-step 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, $\frac{r}{s}(x)=\frac{3x-1}{2x+1}$

Substitute x =6

So, $\frac{r}{s}(6)=\frac{3(6)-1}{2(6)+1}$

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

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

Answer 2

$( \frac{r}{s} )(6)= \frac{r(6)}{s(6)}$

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