Answer:
The pair which are inverse of each other are:
Option: C
Step-by-step explanation:
Two functions f(x) and g(x) are said to be inverse of each other if:
fog(x)=gof(x)=x
i.e. the composition of two functions give identity no matter what the order is.
A)
and
Now we calculate fog(x):
Hence, option: A is incorrect.
B)
Now we calculate fog(x):
Hence, option: B is incorrect.
D)
Now we calculate fog(x):
Hence, option: D is incorrect.
C)
Now we calculate fog(x):
Similarly,
Hence, option: C is the correct option.