If f(x) = |x - 25| and g(x) = f(f(x)) th

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

If f(x) = |x - 25| and g(x) = f(f(x)) then for x > 50, g'(x) is equal to

Options:

None of these

Correct Answer:

Explanation:

g(x) = f(f(x)) = f(|x - 25|) = ||x - 25|- 25|

and for x > 50, g(x) = |x - 25 - 25| = |x – 50| = x - 50

⇒ g'(x) = 1.

Hence (B) is the correct answer.