Which of the following pairs of functions are inverses of each other?

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.

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