If g ( f ( x )) =|sin x | and , then
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
If g ( f (x)) =|sin x| and
, then

- f(x) = sin x, g(x) = |x|

- f and g cannot be determined
Answer
(B) f ( x ) = sin x , g ( x ) = | x |
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let f 1 (n) = 1 + 1 2 + 1 3 + + 1 n , then f 1 (1) + f 1 (2) + f 1 (3) + ... + f 1 (n) is equal to :
- The complete solution set of sin –1 (sin 5) > x 2 – 4x is
- The domain of the function f (x) = 1 x^ 12 -x^ 9 +x^ 4 -x+1 is
- Let function f : R → R be defined by f ( x ) = 2 x + sin x for x ∈ R . Then f is
- Let f (x) be defined on [–π, π] and is given by, f(x)= array ll x & - x 0 x & 0 Let g (x) = f |x| + | f (x)|…
- If the function f : [1, ∞) → [1, ∞) is defined by f ( x ) = 2 x ( x – 1) , then f –1 ( x ) is
- Suppose f ( x ) = ( x + 1) 2 for x ≥ – 1. If g ( x ) is the function whose graph is the reflection of the…
- If the function f : ℝ → ℝ is defined by f ( x ) = | x |( x − sin x ), then which of the following statements…
More Sets, Relations and Functions questions · Browse all practice questions