मान लीजिए f : R → R, f(x) = sin x द्वारा परिभाषित है और g : R → R, g(x) = x2 द्वारा परिभाषित है, तो (f o g)(x) का मान क्या है?

  1. x2 sin x
  2. sin2 x
  3. sin x2
  4. 2x sin x

Answer (Detailed Solution Below)

Option 3 : sin x2
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Army Havildar SAC - Quick Quiz
5 Qs. 10 Marks 6 Mins

Detailed Solution

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संकल्पना:

  • दो फलन f(x) और g(x) के लिए (f o g)(x) को f[g(x)] के रूप में परिभाषित किया गया है। 

 

गणना:

f(x) = sin x और g(x) = x2

∴ (f o g)(x) = f[g(x)] = sin [g(x)] = sin (x2) = sin x2

Latest Army Havildar SAC Updates

Last updated on Jun 11, 2025

-> The Indian Army has released the official notification for the post of Indian Army Havildar SAC (Surveyor Automated Cartographer).

-> Interested candidates had applied online from 13th March to 25th April 2025.

-> Candidates within the age of 25 years having specific education qualifications are eligible to apply for the exam.

-> The candidates must go through the Indian Army Havildar SAC Eligibility Criteria to know about the required qualification in detail. 

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