Published by:
CGP EDU Academic Team
Published on: August 12, 2026
f : [2, ∞ ∞ ) → → (- ∞ ∞ , 4], wheref(x) = x(4 – x) then f − − 1 (x) is given by
A
2 − − 
B
2 + 
C
− − 2 
D
− − 2 − − 
Text Solution
Verified by ExpertsThe correct answer is:
B
f(x) = x(4 - x)
⇒ ⇒ f(f- 1 (x)) = f -1 (x) – f -1 (x)) 2 = x
⇒ ⇒ (f − − 1 (x)) 2 - 4f − − l (x) + x = 0
But f − − 1 : (- ∞ ∞ , 4] → → [2, ∞ ∞ )
⇒ ⇒ f -1 : (x) = 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The function , where assumes its minimum value only at one point, if . Find .
2. If be two fixed positive integers such that for all real , then is a periodic function with …
3. The domain of the function , where the symbols have their usual meanings, is the set . Find nu…
If , then . Find .
, then is equal to . Find .
Let and be the roots of , then is equal to Find .