If f ( x )= 2- x and g(x)= 1-2 x , then the domain of f [g (x)] is
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
If \(\mathrm{f}(\mathrm{x})=\sqrt{2-\mathrm{x}}\) and \(g(x)=\sqrt{1-2 x}\), then the domain of f [g (x)] is
- (– ∞, 1/2]
- [1/2, ∞)
- (– ∞, –3/2]
- none of these
Answer
(D) none of these
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- cos [tan –1 sin (cot –1 x) ] is equal to :
- Let f(x) be a function given by f(x)= x^ 2 +1 [x] for all x ∈ [1, 4), where [.] denotes the greatest integer…
- The value of ^ -1 3 4 + ^ -1 5 13 is :
- The number of values of x , where the function f(x)= x+ ( 2 x) attains its maximum, is
- The function f(x)= [ (x+ x^ 2 +1 ) ] is:
- The equation 2 ^ -1 x+ ^ -1 x= 11 6 has :
- If the inverse trigonometric functions take principal values, then ^ -1 ( 3 10 ( ^ -1 ( 4 3 ) )+ 2 5 ( ^ -1 (…
- Let f(x)=a^ x (a>0) be written as f(x)=f_ 1 (x)+f_ 2 (x) , where f_ 1 (x) is an even function and f_ 2 (x) is…
More Sets, Relations and Functions questions · Browse all practice questions