Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If g(x) = 
is continuous at x = 1 and g(1) = 
,
then find the value of 2g(1) + 2f(1) –h(1). Assume that f(x) and h(x) are continuous at x = 1.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. g(1) = 
= 
= 
= e 2 Now, 
g(x) = 
= 
= 
= 
and 
g(x) = 
= 
= 
= 
= 
g(x) is continuous at x = 1;
∴ 
g(x) = 
g(x) = g(1)
⇒ 
= e
2 = 
⇒ h(1) = be 2 –1 and f(1) = 2e 2 ∴ 2g(1) + 2f(1) –h(1) = 2e
2 + 4e 2 –(6e 2 –1) = 1
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 .