Question

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

Answer 1

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).