The domain and range of the real function f defined by is given by

Given:

To find: the domain and range of function

Explanation: So, the domain of a function consists of all the first elements of all the ordered pairs, i.e., x, so we have to find the values of x to get the required domain

Given,

Now for real value of

x-4≠0

⇒ x≠4

Hence the domain of f = R-{4}

And the range of a function consists of all the second elements of all the ordered pairs, i.e., f(x), so we have to find the values of f(x) to get the required range

Given,

⇒ f(x) = -1

Hence the range of f = {-1}

Hence the correct answer is option (C)