Question
Download Solution PDFयदि (x) = ex और g(x) = loge x है, तो fog(1) का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
फलन का संयोजन: माना कि f, और g कोई फलन है, तो f ∘ g(x) = f[g(x)] है।
गणना:
दिया गया है, f(x) = ex और g(x) = loge x
अब, f ∘ g(x) = f[g(x)]
= eg(x)
= eloge x
= x (∵ eloge x = x)
f ∘ g(x) = x
x = 1 रखने पर, हमें निम्न प्राप्त होता है
fog(1) = 1
Last updated on Jun 11, 2025
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