Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Suppose f and g are continuous functions on the closed interval 
such that 
and 
. Then
A
for exactly one 
B
for at least one 
C
for no value of 
D
for infinitely many values of 
Text Solution
Verified by ExpertsThe correct answer is:
B
Define 
for 
. Therefore, Q is continuous on 
and 
and 
. If either 
or 
, we are through. Otherwise, 
and 
so that 
for some 
. Thus 
for some 
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