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 -∞<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).

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.