Final answer:
Solving the equation f(x) = -2, set the given function equal to -2, the solutions are x = 0 and x = -1.
Step-by-step explanation:
To solve the equation f(x) = -2, you need to set the given function equal to -2 and solve for x.
Given: f(x) = x² + x - 2 = -2
Set the equation equal to zero: x² + x - 2 + 2 = 0
Simplify the equation: x² + x = 0
Factor out x from the left side of the equation: x(x + 1) = 0
Set each factor equal to zero and solve for x:
- x = 0
- x + 1 = 0
Therefore, the solutions to the equation f(x) = -2 are x = 0 and x = -1.