Question

What are the excluded values?

Answer 1

\[\frac{ -7z }{ 4z+1}\]

Answer 2

for what z value makes the fraction undefined

Answer 3

or another way to asked this is for what z value is the denominator 0

Answer 4

basically solving the equation 4z+1=0 will give you your answer

Answer 5

\[\frac{ 4 }{ -1 }\]

Answer 6

opposite of tht my bad

Answer 7

you mean reciprocal of that?

Answer 8

yes

Answer 9

opposite means just changing the sign :p

Answer 10

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

Answer 11

so then just 4/-1 = -4

Answer 12

oh I thought you meant reciprocal of -4/1

Answer 13

oh lol

Answer 14

which is -1/4

Answer 15

4z+1=0
subtract 1 on both sides
4z=-1

do you know you are going to divide both sides by 4 right?

Answer 16

yes so the 4 in 4z gets cancelled out & whats left is z = -1/4

Answer 17

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

Answer 18

which is the reciprocal of -4/1 aka -4
so I kind of thought that was you meant

Answer 19

anyways yes the fraction is undefined at z=-1/4
because it means we would be diving by 0 if we plug it in.