Question

If mx=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

Answer:c

Explanation:

Given

`m\left ( x\right )=x+(5)/(x-1)`

and
`n\left ( x\right )=x-3`

m of n is given by replacing x in
`m\left ( x\right )` by x-3

`m\left ( n\left ( x\right )\right )=x-3+(5)/(x-3-1)=x-3+(5)/(x-4)`

`m\left ( n\left ( x\right )\right )` can take any value of x except x=4 because at x=4 function is not defined

and
`h\left ( x\right )=(11)/(x-4)` is also not defined for x=4 and can take any value of x