दिया गया है कि f(x) =  और g(x) =  है, तो f[g(x)] किसके बराबर है?

  1. इनमे से कोई भी नहीं

Answer (Detailed Solution Below)

Option 4 : इनमे से कोई भी नहीं
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Agniveer Navy SSR Full Test - 01
100 Qs. 100 Marks 60 Mins

Detailed Solution

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संकल्पना:

फलन का संयोजन: fog(x) = f(g(x)), इसका अर्थ है कि फलन f(x) के लिए x का मान g(x) है। 

उदाहरण: माना कि  f(x ) = x + 2 और g(x) = 2x है। तो f(g(x)) = g(x) + 2 = 2x + 2 है। 

 

गणना:

दिया गया है कि, f(x) =  और g(x) =

f[g(x)] =

अतः विकल्प (4) सही है।     

Mistake Pointsविकल्प C के लिए, अंश (4x + x2 + 4) होना चाहिए लेकिन इसे (2x + x2 + 4) के रूप में दिया गया है। इसलिए, विकल्प 4 सही उत्तर है।

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