What are the excluded values?

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What are the excluded values?

Mathematics
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\[\frac{ -7z }{ 4z+1}\]
for what z value makes the fraction undefined
or another way to asked this is for what z value is the denominator 0

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Other answers:

basically solving the equation 4z+1=0 will give you your answer
\[\frac{ 4 }{ -1 }\]
opposite of tht my bad
you mean reciprocal of that?
yes
opposite means just changing the sign :p
but yes the only value z can't be for this function is -1/4 since it means we would be dividing by 0 here
so then just 4/-1 = -4
oh I thought you meant reciprocal of -4/1
oh lol
which is -1/4
4z+1=0 subtract 1 on both sides 4z=-1 do you know you are going to divide both sides by 4 right?
yes so the 4 in 4z gets cancelled out & whats left is z = -1/4
dividing both sides by 4 4z/4=-1/4 4/4=1 so you can say you canceled on the factors of 4 on top and bottom on the left hand side giving you z=-1/4
which is the reciprocal of -4/1 aka -4 so I kind of thought that was you meant
anyways yes the fraction is undefined at z=-1/4 because it means we would be diving by 0 if we plug it in.

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