Question

If m(x)=(x+5)/(x-1), which function has the same domain as (m•n)(x)?

1. h(x)=(x+5)/1)
2. h(x)=11/(x-1)
3. h(x)=11/(x-4)
4. h(x)=11/(x-3)​

Answer 1

2. h(x)=11/(x–1)

Explanation:

since m(x)=(x+5)/(x–1)

then the denominator can't equal zero

so x can't equal 1

so the domain is R–{1}

same goes with h(x)=11/(x–1)

as they have the same denominator