Question

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

A. (3(6)-1)/2(6)+1
B. (6)/2(6)+1
C. (36-1)/(26+1)
D. (6)-1/(6)+1

Answer 1

The equivalent expression for (r/S)(6) is found by substituting 6 into the functions r(x) and s(x), which results in option A: (3(6) - 1)/(2(6) + 1).

Step-by-step explanation:

The correct answer is option A. To find the equivalent expression for (r/S)(6), we need to substitute x with 6 in the formulas for r(x) and s(x). The function r(x) is given as r(x) = 3x - 1, and s(x) is given as s(x) = 2x + 1. Substituting 6 in both functions, we have r(6) = 3(6) - 1 and s(6) = 2(6) + 1. Therefore, (r/S)(6) is (3(6) - 1)/(2(6) + 1), which simplifies to (18 - 1)/(12 + 1) or 17/13. This is indeed equivalent to option A: (3(6) - 1)/(2(6) + 1).

To find (r/S)(6), we first need to substitute the values of r(x) and s(x) into the expression. Therefore, (r/S)(6) = (3(6)-1)/(2(6)+1).

Simplifying this, we get (18-1)/(12+1) = 17/13.

So, the expression (r/S)(6) is equivalent to 17/13, which corresponds to option A.