Question

Find the range of y=(1/x+4)-1

Answer 1

First find the range of 1/x+4

Answer 2

okay

Answer 3

the numerator is 1, what value can the fraction not equal to

Answer 4

uh i'm not sure

Answer 5

well if its 0/x+4 what is our solution?

Answer 6

-4/x? I really don't know. This is why I dropped out of math. but I have to finish my crcedit recovery for it

Answer 7

range is the value of y

Answer 8

so what value of x that would make the value y infinite

Answer 9

if there isn't any then R is answer if there is the R except that value

Answer 10

1/(x+4)-1
this equation could be equal infinite if the denominator is equal to zero
so x+4=0 =>x=-4

Answer 11

hmm first find the domain since range depends on what the domain is
\[y=\frac{1}{x+4}-1\]
the domain is all x except -4
\[( -\infty, -4)\cup (-4, \infty)\]
now at \[x=4 ~we~have~ y=\pm\infty \]
at \[x=\pm\infty \Longrightarrow y=-1\]

Answer 12

see what you can conclude from this!

Answer 13

really people should be asked range if there is no graph
because finding the range involve calculus sometimes for some function
or the use of inverse functions if they exist! the goal is to see where the domain maps to

Answer 14

shouldn't be*

Answer 15

if you graph this thing you should be able to see the range clearly

Answer 16

see attached!
http://prntscr.com/6luml1