If m (x) = x+5/x-1 and n (x) = x - 3, which function has the same domain as (m. n) (x)

The domain of function (m. n) x is same as domain of function m (x).

Step-by-step explanation:

Domain: Any set of input values for which the function is defined and valid.

m (x) = x+5/x-1

Domain of m (x) is x>1 or x<1, x≠1, because if x=1 the function will be undefined.

n (x) = x - 3

Domain of x - 3 is - ∞
(m. n) x = (x+5/x-1) (x-3)

= (x+5) (x-3) / x-1

The Domain of (m. n) x is x1 or x≠1 because the function is undefined for x=1

So, the domain of function (m. n) x is same as domain of function m (x).