Final answer:
To rewrite the equation y=14|x+1|+2 as two linear functions with restricted domains, we can break it down into two linear segments based on the absolute value function.
Step-by-step explanation:
To rewrite the equation y=14|x+1|+2 as two linear functions f and g with restricted domains, we need to break it down into two linear segments based on the absolute value function. When x+1 ≥ 0, the equation becomes y = 14(x+1) + 2, which simplifies to y = 14x + 16. This gives us the linear function f(x) = 14x + 16. When x+1 < 0, the equation becomes y = 14(-(x+1)) + 2, which simplifies to y = -14x + 16. This gives us the linear function g(x) = -14x + 16.