Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

If f(x) =|x − 2| and g(x) = f(f(x)), then for x > 20, g'(x) is equal to

Options:

–1

1

2

none of these

Correct Answer:

1

Explanation:

For f(x) = x − 2, x ≥ 2

⇒ g(x) = f(f(x))= f(x) − 2, f(x) ≥ 2

⇒ g(x) = x − 4 , x – 2 ≥ 2 ⇒ g(x) = x − 4 , x ≥ 4 ⇒ g'(x) =1