1. The problem asks to identify which pair of given functions is not a pair, i.e., which pair does not share a characteristic or relation. 2. Let's list the functions: - A) $g(x) = (2x + 3)^2 - 6x$ - B) $f(x) = 2x^2 - 3x$ - C) $h(x) = |x - 1| + |x - 1|$ 3. The pairs mentioned are B) and C). 4. Simplify each function to understand relations: - $g(x) = (2x + 3)^2 - 6x = (4x^2 + 12x + 9) - 6x = 4x^2 + 6x + 9$ - $f(x) = 2x^2 - 3x$ - $h(x) = |x - 1| + |x - 1| = 2|x - 1|$ 5. Analyze B) and C): - $f(x) = 2x^2 - 3x$ is a quadratic function. - $h(x) = 2|x - 1|$ is a piecewise linear function formed by absolute values. 6. Since $f(x)$ is quadratic and $h(x)$ is piecewise linear, they are different types of functions and do not form a 'pair' based on their nature. 7. A) and B) are both quadratic-like functions (polynomial form), so they resemble each other more than B) and C). 8. Therefore, the pair that is NOT a pair, given the context, is: Answer: D) B and C