Question

Graph both functions to find the solution(s) to the system. Use the line tool to graph the line.

Answer 1

The graph shows solutions to be ...
  (x, f(x)) = (x, g(x)) = (-2, 5), (2, -3)

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Analytically, it works well to find
  g(x) -f(x) = 0
  (x^2 -2x -3) -(-2x +1) = 0
  x^2 -4 = 0
  x^2 = 4
  x = ±√4 = ±2
Then
  f(-2) = -2(-2) +1 = 5
  f(2) = -2(2) +1 = -3