Question

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

Answer 1

The domain of (mon)(x) =
`((x + 2)/((x - 4)`

Explanation:

Given function as :

m (x) =
`(x + 5)/(x - 1)` And

n (x) = x - 3

So, The function (mon)(x) = (m(n(x)) =
`((x - 3) + 5)/((x -3) - 1)`

Or, (mon)(x) =
`((x - 3) + 5)/((x -3) - 1)`

Or, (mon)(x) =
`((x + 2)/((x - 4)`

Hence The domain of (mon)(x) =
`((x + 2)/((x - 4)` Answer