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🎯 Q 1247 of 13,000+
Q 23 of 27⏱ 12:47
🧮 Desmos📋 RefAa
If f(x)=2x23f(x) = 2x^2 - 3 and g(x)=x+1g(x) = x + 1, what is f(g(2))f(g(2))?
A15
B18
C21
D24
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🇺🇸
English explanation
Q: If f(x)=2x23f(x) = 2x^2 - 3 and g(x)=x+1g(x) = x + 1, what is f(g(2))f(g(2))?
Answer: A (f(g(2))=15f(g(2)) = 15)
Key skill: function composition, work inside-out.
Step 1: g(2)=2+1=3g(2) = 2 + 1 = 3.
Step 2: f(3)=2(32)3=183=15f(3) = 2(3^2) - 3 = 18 - 3 = 15.
Why not B (18)? Common mistake, students compute 2(32)=182(3^2) = 18 and stop, forgetting the 3-3 in f(x)f(x). Always finish the formula.
🇹🇭
เฉลยภาษาไทย
โจทย์: ถ้า f(x)=2x23f(x) = 2x^2 - 3 และ g(x)=x+1g(x) = x + 1 จงหา f(g(2))f(g(2))
คำตอบ: A (f(g(2))=15f(g(2)) = 15)
Key skill: function composition, คำนวณจากในออกนอก
ขั้น 1: g(2)=2+1=3g(2) = 2 + 1 = 3
ขั้น 2: f(3)=2(32)3=183=15f(3) = 2(3^2) - 3 = 18 - 3 = 15
ทำไมไม่ใช่ B (18)? ผิดบ่อย, หลายคนคิด 2(32)=182(3^2) = 18 แล้วหยุด ลืมลบ 3-3 ในสูตร f(x)f(x) ต้องคำนวณให้ครบทุกพจน์
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