Question

How do you simplify and find the excluded value of `(4x-12)/(4x)`?

Answer 1

See a solution process below:

Explanation:

First, this expression can be rewritten as:

`(4x)/(4x) - 12/(4x) => color(red)(cancel(color(black)(4x)))/color(red)(cancel(color(black)(4x))) - 12/(4x) => 1 - 12/(4x) =>`

`1 - (4 xx 3)/(4x) => 1 - (color(red)(cancel(color(black)(4))) xx 3)/(color(red)(cancel(color(black)(4)))x) => 1 - 3/x`

Because you cannot divide by `0` the excluded value is:

`4x != 0` or `x != 0`