API · no tools. This is the prompt and response recorded for this attempt; a full solution may not have been returned.
This is a Korean CSAT mathematics numerical-answer problem. Solve it and put only the final integer value inside \boxed{}.
Problem 21 Letf(x) be a cubic function whose leading coefficient is positive, and lettbe a real number. Define g(x) = ( −f(x) (x < t), f(x) (x≥t), so thatgis continuous on the entire real line and satisfies the following conditions. 8 (A) For every real numbera, the limit lim x→a+ g(x) x(x−2) exists. (B) The set of natural numbersmfor which lim x→m+ g(x) x(x−2) is negative is g(−1),− 7 2 g(1) . Assuming thatg(−1)̸=− 7 2 g(1), computeg(−5). [4 points]
\boxed{65}
Comparative Analysis (P20) (Average across runs)
Averages use reported measurements only. Missing usage is not treated as zero.