Comprehension

निर्देश : निम्नलिखित प्रश्नों के लिए निम्नलिखित पर विचार करें:

माना f o g(x) = cos2√x और g o f(x) = |cos x| है।

निम्नलिखित में से कौन सा f(x) है?

This question was previously asked in
NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. cos x
  2. cos x2
  3. cos2 x
  4. cos |x|

Answer (Detailed Solution Below)

Option 3 : cos2 x
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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व्याख्या:

दिया गया है:

fog(x) =cos 2 √x और go f(x) = |cos x|.

यदि हम विकल्प (c) लेते हैं,

⇒ f(x) = cos2 x; तब g(x) = √x

⇒ fog(x) = cos 2 √x और go f(x) =

= |cos2x|

तब f(x) = cos2 x

∴ विकल्प (c) सही है।

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