wiz-icon
MyQuestionIcon
MyQuestionIcon
80
You visited us 80 times! Enjoying our articles? Unlock Full Access!
Question

Let f(x) and g(x) be two continuous functions defined from RR, such that f(x1)>f(x2)

and g(x1)<g(x2) , also x1<x2, then solution set of f(g(α22α))>f(g(3α4)) is

A
R
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
[1,4]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(1,4)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
R[1,4]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C (1,4)
givenf(x1)>f(x2)wherex1<x2g(x1)<g(x2)wherex1<x2Now,f(g(x1))>f(g(x2))sinceg(x1)<g(x2)forx1<x2Forf(g(α22α))>f(g(3α4))α22α<3α4α25α+4<0α24αα+4<0(α4)(α1)<0αϵ(1,4)

Hence, the option is "C"

1026569_1018254_ans_34765d909b8c4ca9b012428db9671de7.png

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Continuity in an Interval
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon