Question

If you do this, I would give you a medal, a follow, and a testimony. Also, a shoutout on instagram from my poetry account (@herbrokenpoetri) which has like 7k followers. So uhm, please?

Answer 1

restricted values for x are values of x that make the denominator 0

so
set the denominotr for 0 and solve for x

x+5=0
x=?

Answer 2

once you get done factor and cancel

Answer 3

5?

Answer 4

so domain is 5?

Answer 5

5 is what the domain cant be. it makes your answer undefined

Answer 6

so how do I get there?

Answer 7

oh no
set
\[x+5=0\] solve for \(x\) you do not get \\(x=5\) you get \(x=-5\)
so the domain is all numbers EXCEPT \(-5\)

Answer 8

then factor and cancel

Answer 9

How about for b?

Answer 10

@satellite73

Answer 11

@jim_thompson5910

Answer 12

@Compassionate

Answer 13

are you able to evaluate c(-6) ?

Answer 14

nope :-(

Answer 15

to find the value of c(-6), you replace every x in c(x) with -6

then you evaluate

Answer 16

\[\Large c(x) = \frac{x^2+4x-5}{x+5}\]

\[\Large c(-6) = \frac{(-6)^2+4(-6)-5}{-6+5}\]

\[\Large c(-6) = \ ???\]

Answer 17

Uhm... 36 +20-5?

Answer 18

36 - 24 - 5 = ??

Answer 19

7

Answer 20

@jim_thompson5910

Answer 21

I'm getting -7

Answer 22

double check to make sure you didn't lose a negative sign somewhere

Answer 23

Oh sorry, that's what I got i just didn't put the negative :/

Answer 24

oh ok

Answer 25

so -7 goes under the -6

Answer 26

the -7 goes in the c(x) row

Answer 27

what is c(-5) ?

Answer 28

what do you mean?

Answer 29

plug x = -5 into the c(x) function

what do you get?

Answer 30

but why do I plug that in?

Answer 31

because you're making the table for x = -6 through x = 2

Answer 32

i get a -35

Answer 33

I need to turn this in tomorrow and it's already nine D: and I have to help my parents with some work today too .

Answer 34

you should get undefined since x+5 = -5+5 = 0 is in the denominator

Answer 35

Wait...s o it's supposed to be 0? I got 0 for the bottom part

Answer 36

yeah if you have 0 in the denominator, then you have an undefined expression

Answer 37

Ohh

Answer 38

So for the chart ... what do you I put? and for b?

Answer 39

oh the table is for part c), my bad

Answer 40

for part b, try to factor the numerator

Answer 41

what do you get when you do so?

Answer 42

What does it mean to factor the numerator?

Answer 43

are you able to factor x^2 + 4x - 5 ?

Answer 44

is it -1?

Answer 45

x^2 + 4x - 5 factors to (x + 5)(x - 1)

Answer 46

hopefully you see what cancels

Answer 47

the x?

Answer 48

no, the x+5 terms cancel

Answer 49

in the numerator and denominator

Answer 50

So that's the answer. x=-1?

Answer 51

@jim_thompson5910