Question
Download Solution PDFफलन |x - 4| + 2 का न्यूनतम मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
प्रत्येक x ∈ R के लिए |x| ≥ 0
गणना:
माना f(x) = |x - 4| + 2
जैसा कि हम जानते हैं कि प्रत्येक x ∈ R के लिए |x| ≥ 0
∴ |x - 4| ≥ 0
फलन का न्यूनतम मान प्राप्त किया जाता है जब |x - 4| = 0 हो
इसलिए, f(x) का न्यूनतम मान = 0 + 2 = 2 है
Alternate Method
f(x) = |x - 4| + 2
एक क्रांतिक बिंदु है अर्थात् x = 4
f(4) = |4 - 4| + 2
= 0 + 2
= 2
इसलिए 2, f(x) का न्यूनतम मान है।
Last updated on Jun 20, 2025
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