Published by:
CGP EDU Academic Team
Published on: August 13, 2026
g(x) =
, x ≠ 1
g(1) =
be a continous function at x = 1, then find the value of 4g(1) + 2 f(1) – h(1), assume that f(x) and h(x) are continuous at x = 1
Text Solution
Verified by ExpertsThe correct answer is:
5
(5)
Sol. g(x) = 
g(1) =
=
= 2
Now g(x) is continuous at x = 1
g(1 + ) = g(1 – ) = g(1)
= 
f(1) = 4 h(1) = 11
g(1) = 2
4g(1) + 2f(1) – h(1) = 8 + 8 – 11 = 5
──────────────────────────────────────────────────────────────────────────────────────────
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 .