is defined if and , i.e.,

Since the domain of is is defined if

or

i.e., or

i.e., or

or domain

or

or … (1)

and … (2)

From equation (2), or

or or

In equation (1), we get imaginary root for and for all . Therefore,

domain of function

To define or … (1)

… (2)

From equations (1) and (2), , i.e., .

(e)

For

or

or

or … (1)

For or

i.e., or … (2)

From equations (1) and (2),

(f)

function always takes positive values which are .

Hence, the given function is defined if

i.e., or , i.e.,

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