Answer:
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 -∞<x<∞ i.e all real numbers
(m.n)x = (x+5/x-1)(x-3)
= (x+5)(x-3)/x-1
The Domain of (m.n)x is x<1 or x>1 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).
