How do you simplify and find the excluded value of $(9y + 8) / (y)$ ?

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Answer 1 · 2017-06-01T19:57:24

See a solution process below:

Because we cannot divide by $0$ , the excluded value is $y = 0$ .

To simplify, we can split the fraction and cancel common terms as follows:

$(9y + 8)/y =>$

$(9y)/y + 8/y =>$

$(9color(red)(cancel(color(black)(y))))/color(red)(cancel(color(black)(y))) + 8/y =>$

$9 + 8/y$

Answer 2 · 2017-06-01T20:03:45

$9+8/y$

Excluded value $-> y=0$

This is the same as: $" "(9y)/y+8/y " "->" "9+8/y$

This 'expression' (no equals sign) becomes undefined at $y=0$ thus $y=0$ is an excluded value giving rise to an asymptote.

As $y$ becomes increasingly positive or negative then $8/y$ tend to 0. So we end up with just 9

Tony B

How do you simplify and find the excluded value of (9y + 8) / (y) (9y + 8) / (y) ?