Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If f(x) = 
, then find f -1 (x) .
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
f –1 (x) = 
Sol. Case Ι y = x x < 1
x = y y < 1
f –1 (x) = x x < 1
Case ΙΙ y = x 2 1 ≤ x ≤ 4
x 2 = y 1 ≤ y ≤ 16
x = 
1 ≤ y ≤ 16
f –1 (x) = 
1 ≤ x ≤ 16
Case ΙΙΙ y = 
x > 4
x = 
y > 16
f –1 (x) = 
x > 16
──────────────────────────────────────────────────────────────────────────────────────────
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 .