FunctionHard
Question
If f : R → R
f(x) =
then range of f(x) is
f(x) =
then range of f(x) is
Options
A.(- ∞ , - 1)
B.(- 1, ∞)
C.[2, ∞)
D.(- ∞ , - 3)
Solution
f(x) = 
Let g(x) =
and h(x) = 
. Thus f(x) = h(g(x))
Now, g′(x) =
and h′(x) =
and f′(x) = h′(g(x)) g′(x) < 0
⇒ minimum f(x) =
f(x) = 
= - 1
⇒ maximum h(x) =
f(x) = 
Let g(x) =
and h(x) = . Thus f(x) = h(g(x))Now, g′(x) =
and h′(x) =
and f′(x) = h′(g(x)) g′(x) < 0
⇒ minimum f(x) =
f(x) = = - 1⇒ maximum h(x) =
f(x) = Create a free account to view solution
View Solution FreeMore Function Questions
If f(x) = cos x + sin x, where [.] denotes the greatest integer function, then which of the following is not correct...< 2 is satisfied when x satisfies-...If f (x) = e3x and g(x) = l n x, x > 0, then (fog) (x) is equal to-...Domain and range of f(x) = are respectively-...Which of the following function(s) is/are periodic ?...