Question

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

Answer 1

A. 3(6)-1/2(6)+1 this is the answer

Answer 2

Answer:

$\frac{3(6)-1}{2(6)+1}\text{ or }\frac{18-1}{12+1}\text{ or }\frac{17}{13}$

Step-by-step explanation:

Given functions,

$r(x) = 3x -1------(1)$

$s(x) = 2x + 1-----(2)$

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

From equation (1) and (2),

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

Put x = 6,

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