Question
Download Solution PDFComprehension
Direction : Consider the following for the items that follow :
Let f o g(x) =cos2 √x and g o f(x) = |cos x|.
Which one of the following is g(x)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given:
fog(x) =cos 2 √x and go f(x) = |cos x|.
If we take option (c),
⇒ f(x) = cos2 x; then g(x) = √x
⇒ fog(x) = cos 2 √x and go f(x) = \(√{cos^2x}\)
= |cos2x|
Then f(x) = cos2 x
If f(x) = cos2 x then g(x) = √ x
∴ Option (a) is correct.
Last updated on May 30, 2025
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