You will need more information for people to answer this, and it depends on how big each piece is.
C..........................
Given:
The number of total students = 200
The number of students like cooking = 61
The number of students who like reading = 32
The number of students who like both cooking and reading= 19
The number of students who like video games = 73
The number of students who like cooking and video games= 23
The number of students who like reading and video games = 92
The number of students who like all 3 hobbies = 6
Required:
(a)
First recall that

is defined only for

, which means

requires that

.
Over this domain,

will be invertible, and so taking the sine of both sides, we have


