PLEASE HELP! HAVE NO IDEA! question in picture

  (x, y) = (-3, -5) or (1, 3)

Step-by-step explanation:

You can equate the expressions for y, then solve the resulting quadratic.

  -x^2 +4 = 2x +1

  4 = x^2 +2x +1 . . . . add x^2

  4 = (x +1)^2 . . . . . . . write as a square

  ±2 = x +1 . . . . . . . . . take the square root

  x = -1 ±2 = -3 or +1 . . . subtract 1

So, the solutions have x-values of -3 or +1. The corresponding y-values can be found from ...

  y = 2x +1

  y = 2(-3) +1 = -5   or   y = 2(1) +1 = 3

Solutions are ...

  (x, y) = (-3, -5) or (1, 3)

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.