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

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Answer 1 · 2017-05-29T22:17:32

See a solution process below:

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 $x != 0$

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