Let f be a real valued function defined by f (x) = e ^ x - e ^ -| x | e ^ x + e ^ | x |…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let f be a real valued function defined by
f (x) = \(\frac{\mathrm{e}^{\mathrm{x}}-\mathrm{e}^{-|\mathrm{x}|}}{\mathrm{e}^{\mathrm{x}}+\mathrm{e}^{|\mathrm{x}|}}\) then range of f (x) is :
f (x) = \(\frac{\mathrm{e}^{\mathrm{x}}-\mathrm{e}^{-|\mathrm{x}|}}{\mathrm{e}^{\mathrm{x}}+\mathrm{e}^{|\mathrm{x}|}}\) then range of f (x) is :
- R
- [0, 1]
- [0, 1)
- [0, 1/2)
Answer
(D) [0, 1/2)
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let f (x) be invertible function and let f –1 (x) be its inverse. Let equation f f –1 (x) = f –1 (x) has two…
- The equation | | x – 1| + a | = 4 can have real solutions for x if ‘a’ belongs to the interval
- The graph of the function y = f (x) is as shown in the figure. Then which one of the following graphs are…
- f( x )= | x |+ x 3 x is defined for :
- The domain of the function f(x)= x^ 2 -[x]^ 2 , where [ x ] = the greatest integer less than or equal to x is
- The range of the function f (x) = cos [x], for −π/2 < x < π/2 contains.
- Domain of definition of the function for real valued x , is
- If [x] denotes the greatest integer ≤ x, then [ 2 3 ]+ [ 2 3 + 1 99 ]+ [ 2 3 + 2 99 ]+ + [ 2 3 + 98 99 ] is…
More Sets, Relations and Functions questions · Browse all practice questions