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Let f : R → R be defined by f(x) = sin x, and g : R → R be defined by g(x) = x2. Find (f o g)(x).

  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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Detailed Solution

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Concept:

  • For two functions f(x) and g(x), (f o g)(x) is defined as f[g(x)].

 

Calculation:

f(x) = sin x and g(x) = x2.

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

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Latest Army Havildar SAC Updates

Last updated on Jul 1, 2025

-> The Indian Army has released the Exam Date for Indian Army Havildar SAC (Surveyor Automated Cartographer).

->The Exam will be held on 9th July 2025.

-> 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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