Answer:
k = -2
Step-by-step explanation:
[tex]f(x) = \frac{5}{2} x + 1 \\ g(x) = \frac{5}{2}x - 1 \\ \\ g(x) = f(x) + k \\ \frac{5}{2} x - 1 = ( \frac{5}{2} x + 1) + k \\ - 1 = 1 + k \\ k = - 1 - 1 \\ k = - 2[/tex]
