Question

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

A.h(x)=x+5 / 11

B.h(x=11/ x - 1

C.h(x)=11/ x - 4

D.h(x)=11/ x - 3

Answer 1

To find the function that has the same domain as (m*n)(x), we need to multiply the expressions for m(x) and n(x). The function h(x) = (x+5)(x-3)/(x-1) has the same domain as (m*n)(x).

Step-by-step explanation:

The function (m*n)(x) represents the product of the functions m(x) and n(x).

To find the function that has the same domain as (m*n)(x), we need to multiply the expressions for m(x) and n(x).

First, multiply the numerators and denominators:

(m*n)(x) = (x+5)/(x-1) * (x-3) = (x+5)(x-3)/(x-1)

The function h(x) = (x+5)(x-3)/(x-1) has the same domain as (m*n)(x).