Question

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

Answer 1

4

Explanation:

Step 1: find (r- s) or r(x) - s(x)

r(x) - s(x) = 3x - 1 - (2x + 1)

r(x) - s(x) = 3x - 1 - 2x - 1 (distribute the -1 to 2x and 1)

r(x) - s(x) = x - 2 (combine like terms, 3x + (-2x) = x, -1 + (-1) = -2)

so r(x) - s(x) = x - 2, or (r - s)(x) = x - 2

Step 2: Plug in 6 to 'x' and find (r - s)(x)

(r - s)(6) = 6 - 2 = 4