Question

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

Answer 1

$\bf \begin{cases} r(x)=3x-1\\ s(x)=2x+1\\ \cline{1-1} \cfrac{r(x)}{g(x)}=\left( \cfrac{r}{s} \right)(x) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ r(6)=3(6)-1\implies r(6)=17~\hfill s(6)=2(6)+1\implies s(6)=13 \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{r}{s} \right)(6)\implies \cfrac{r(6)}{s(6)}\implies \cfrac{17}{13}$