Question

Let f be the function given by [math]f(x) = x² + 3x - 2[/math]. Which of the following statements is true for [math]f(-1)[/math]?

1) f(-1) = 0
2) f(-1) = -6
3) f(-1) = 4
4) f(-1) = 6

Answer 1

After calculating f(-1) for the given function f(x) = x² + 3x - 2, we find that f(-1) equals -4, indicating that none of the options provided in the question are correct.

Step-by-step explanation:

To determine the value of f(-1), we should substitute x with -1 into the function f(x) = x² + 3x - 2. Following the steps:

1. Replace x with -1: (-1)² + 3(-1) - 2.
2. Simplify: 1 - 3 - 2.
3. Combine like terms: -4.

Therefore, f(-1) = -4, which is not listed among the options provided in the question. It seems there might be a typo in the options, as none of them match the correct answer.