CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If f(x)=sin{[x+5]+{x{x{x}}}} for xϵ(0,π4) is invertible, where {.} and [.] represent fractional part and greatest integer functions respectively, then f1(x) is


A

sin1x

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

π2cos1x

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

sin1{x}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

cos1{x}

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
A

sin1x


B

π2cos1x


C

sin1{x}


{[x+5]+{x{x{x}}}}

={[x+5]+{x{[x]}}

={[x+5]+{x}}={{x}}={x}

so f(x)=sin{x} for x ϵ (0,π4)

so f(x)=sinx

so f1(x)=sin1(x)

=sin1{x}=π2cos1x


flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Inverse Trigonometric Functions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon