If (x)=3x-1 and s(x)=2x+1, which expression is equivalent to r over s (6) ?
![If x3x1 and sx2x1 which expression is equivalent to r over s 6 class=](https://us-static.z-dn.net/files/df6/573f8f3c45b1a6e7a8ba25965715549c.png)
Answer:
[tex]\large\boxed{\dfrac{3(6)-1}{2(6)+1}}[/tex]
Step-by-step explanation:
[tex]\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\\text{We have}\\\\f(x)=3x-1,\ g(x)=2x+1\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{3x-1}{2x+1}\\\\\left(\dfrac{f}{g}\right)(6)\to\text{put x = 6 to the equation of the function}\ \left(\dfrac{f}{g}\right)(x):\\\\\left(\dfrac{f}{g}\right)(6)=\dfrac{3(6)-1}{2(6)+1}[/tex]